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255242551241424 = 24323557844749139
BaseRepresentation
bin111010000010010001001001…
…100110010010101011010000
31020110201221122020212011102110
4322002101021212102223100
5231423343221104211144
62302504450450145320
7104522444235242415
oct7202211146225320
91213657566764373
10255242551241424
117436783801a61a
1224763871b82240
13ac56366878436
144705b3c01210c
151e796a032a0b9
hexe82449992ad0

255242551241424 has 160 divisors (see below), whose sum is σ = 689376037109760. Its totient is φ = 81224305778176.

The previous prime is 255242551241357. The next prime is 255242551241459. The reversal of 255242551241424 is 424142155242552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5194272247 + ... + 5194321385.

It is an arithmetic number, because the mean of its divisors is an integer number (4308600231936).

Almost surely, 2255242551241424 is an apocalyptic number.

255242551241424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255242551241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344688018554880).

255242551241424 is an abundant number, since it is smaller than the sum of its proper divisors (434133485868336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255242551241424 is a wasteful number, since it uses less digits than its factorization.

255242551241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58177 (or 58171 counting only the distinct ones).

The product of its digits is 5120000, while the sum is 48.

The spelling of 255242551241424 in words is "two hundred fifty-five trillion, two hundred forty-two billion, five hundred fifty-one million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 557 1104 1114 1671 2228 3342 4456 6684 8447 8912 12811 13368 16894 25341 25622 26736 33788 38433 49139 50682 51244 67576 76866 98278 101364 102488 135152 147417 153732 194281 196556 202728 204976 294834 307464 388562 393112 405456 582843 589668 614928 777124 786224 1130197 1165686 1179336 1554248 2260394 2331372 2358672 3108496 3390591 4520788 4662744 4704979 6781182 9041576 9325488 9409958 13562364 14114937 18083152 18819916 27124728 27370423 28229874 37639832 54249456 54740846 56459748 75279664 82111269 108214517 109481692 112919496 164222538 216429034 218963384 225838992 324643551 328445076 415077133 432858068 437926768 629519729 649287102 656890152 830154266 865716136 1245231399 1259039458 1298574204 1313780304 1660308532 1731432272 1888559187 2490462798 2518078916 2597148408 3320617064 3777118374 4980925596 5036157832 5194296816 6641234128 7554236748 9546774059 9961851192 10072315664 15108473496 19093548118 19923702384 28640322177 30216946992 38187096236 57280644354 76374192472 114561288708 152748384944 229122577416 231197963081 458245154832 462395926162 693593889243 924791852324 1387187778486 1849583704648 2774375556972 3699167409296 5317553150863 5548751113944 10635106301726 11097502227888 15952659452589 21270212603452 31905318905178 42540425206904 63810637810356 85080850413808 127621275620712 255242551241424