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426153357256 = 231143269499839
BaseRepresentation
bin1100011001110001011…
…10000010111111001000
31111201222100201120112011
412030320232002333020
523440230224413011
6523434441225304
742534322524664
oct6147056027710
91451870646464
10426153357256
11154804507840
126a711a92234
1331255ab7a73
14168a97b78a4
15b142991621
hex6338b82fc8

426153357256 has 128 divisors (see below), whose sum is σ = 898128000000. Its totient is φ = 187895957760.

The previous prime is 426153357247. The next prime is 426153357319. The reversal of 426153357256 is 652753351624.

It is a happy 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, 507929685 + ... + 507930523.

It is an arithmetic number, because the mean of its divisors is an integer number (7016625000).

Almost surely, 2426153357256 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 426153357256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449064000000).

426153357256 is an abundant number, since it is smaller than the sum of its proper divisors (471974642744).

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

426153357256 is a wasteful number, since it uses less digits than its factorization.

426153357256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1663 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 49.

The spelling of 426153357256 in words is "four hundred twenty-six billion, one hundred fifty-three million, three hundred fifty-seven thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 269 344 473 499 538 839 946 998 1076 1678 1892 1996 2152 2959 3356 3784 3992 5489 5918 6712 9229 10978 11567 11836 18458 21457 21956 23134 23672 36077 36916 42914 43912 46268 72154 73832 85828 92536 127237 134231 144308 171656 225691 236027 254474 268462 288616 396847 418661 451382 472054 508948 536924 793694 837322 902764 944108 1017896 1073848 1476541 1587388 1674644 1805528 1888216 2482601 2953082 3174776 3349288 4605271 4965202 5771933 5906164 9210542 9704713 9930404 11543866 11812328 18002423 18421084 19409426 19860808 23087732 36004846 36842168 38818852 46175464 63491263 72009692 77637704 106751843 112619809 126982526 144019384 198026653 213503686 225239618 253965052 396053306 427007372 450479236 507930104 792106612 854014744 900958472 1238817899 1584213224 2477635798 4842651787 4955271596 9685303574 9910543192 19370607148 38741214296 53269169657 106538339314 213076678628 426153357256