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2132245938648 = 2337591051204679
BaseRepresentation
bin11111000001110011110…
…000110000000111011000
321112211200212220121012210
4133001303300300013120
5234413314430014043
64311312410235120
7310023020302350
oct37016360600730
97484625817183
102132245938648
1175230a276961
122a52b0a25aa0
131260ba833187
14752b6353b60
153a6e80d4633
hex1f073c301d8

2132245938648 has 128 divisors (see below), whose sum is σ = 6201312768000. Its totient is φ = 598314729600.

The previous prime is 2132245938629. The next prime is 2132245938653. The reversal of 2132245938648 is 8468395422312.

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, 10315173 + ... + 10519851.

It is an arithmetic number, because the mean of its divisors is an integer number (48447756000).

Almost surely, 22132245938648 is an apocalyptic number.

2132245938648 is a gapful number since it is divisible by the number (28) 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 2132245938648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100656384000).

2132245938648 is an abundant number, since it is smaller than the sum of its proper divisors (4069066829352).

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

2132245938648 is a wasteful number, since it uses less digits than its factorization.

2132245938648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205805 (or 205801 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 57.

The spelling of 2132245938648 in words is "two trillion, one hundred thirty-two billion, two hundred forty-five million, nine hundred thirty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1051 1239 1416 1652 2102 2478 3153 3304 4204 4956 6306 7357 8408 9912 12612 14714 22071 25224 29428 44142 58856 62009 88284 124018 176568 186027 204679 248036 372054 409358 434063 496072 614037 744108 818716 868126 1228074 1302189 1432753 1488216 1637432 1736252 2456148 2604378 2865506 3472504 4298259 4912296 5208756 5731012 8596518 10417512 11462024 12076061 17193036 24152122 34386072 36228183 48304244 72456366 84532427 96608488 144912732 169064854 215117629 253597281 289825464 338129708 430235258 507194562 645352887 676259416 860470516 1014389124 1290705774 1505823403 1720941032 2028778248 2581411548 3011646806 4517470209 5162823096 6023293612 9034940418 12046587224 12691940111 18069880836 25383880222 36139761672 38075820333 50767760444 76151640666 88843580777 101535520888 152303281332 177687161554 266530742331 304606562664 355374323108 533061484662 710748646216 1066122969324 2132245938648