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8000042544 = 2433132949121
BaseRepresentation
bin1110111001101011…
…01111011000110000
3202122112111021021000
413130311233120300
5112341002330134
63401500402000
7402151145124
oct73465573060
922575437230
108000042544
1134358a740a
121673246300
139a65595b0
1455c6b9584
1531c507e99
hex1dcd6f630

8000042544 has 160 divisors (see below), whose sum is σ = 25582737600. Its totient is φ = 2376622080.

The previous prime is 8000042513. The next prime is 8000042593. The reversal of 8000042544 is 4452400008.

8000042544 is a `hidden beast` number, since 80 + 0 + 0 + 0 + 42 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 138304 + ... + 187424.

It is an arithmetic number, because the mean of its divisors is an integer number (159892110).

Almost surely, 28000042544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000042544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791368800).

8000042544 is an abundant number, since it is smaller than the sum of its proper divisors (17582695056).

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

8000042544 is a wasteful number, since it uses less digits than its factorization.

8000042544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49180 (or 49168 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 8000042544 is about 89442.9569278655. The cubic root of 8000042544 is about 2000.0035453270.

The spelling of 8000042544 in words is "eight billion, forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 936 1044 1131 1392 1404 1508 1566 1872 2088 2262 2808 3016 3132 3393 4176 4524 5616 6032 6264 6786 9048 10179 12528 13572 18096 20358 27144 40716 49121 54288 81432 98242 147363 162864 196484 294726 392968 442089 589452 638573 785936 884178 1178904 1277146 1326267 1424509 1768356 1915719 2357808 2554292 2652534 2849018 3536712 3831438 4273527 5108584 5305068 5698036 5747157 7073424 7662876 8547054 10217168 10610136 11396072 11494314 12820581 15325752 17094108 17241471 18518617 21220272 22792144 22988628 25641162 30651504 34188216 34482942 37037234 38461743 45977256 51282324 55555851 68376432 68965884 74074468 76923486 91954512 102564648 111111702 137931768 148148936 153846972 166667553 205129296 222223404 275863536 296297872 307693944 333335106 444446808 500002659 615387888 666670212 888893616 1000005318 1333340424 2000010636 2666680848 4000021272 8000042544