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256962028740 = 2235157179152393
BaseRepresentation
bin1110111101010000100…
…0010110010011000100
3220120021010101120010120
43233110020112103010
513202224234404430
6314014032021540
724364521130434
oct3572410262304
9816233346116
10256962028740
1199a8240350a
12419740918b0
131b30155b821
14c6192c62c4
156a3e132610
hex3bd42164c4

256962028740 has 96 divisors (see below), whose sum is σ = 728126340480. Its totient is φ = 67705936896.

The previous prime is 256962028699. The next prime is 256962028753. The reversal of 256962028740 is 47820269652.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1609984 + ... + 1762376.

It is an arithmetic number, because the mean of its divisors is an integer number (7584649380).

Almost surely, 2256962028740 is an apocalyptic number.

256962028740 is a gapful number since it is divisible by the number (20) 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 256962028740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364063170240).

256962028740 is an abundant number, since it is smaller than the sum of its proper divisors (471164311740).

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

256962028740 is a wasteful number, since it uses less digits than its factorization.

256962028740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152741 (or 152739 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 256962028740 in words is "two hundred fifty-six billion, nine hundred sixty-two million, twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 179 314 358 471 537 628 716 785 895 942 1074 1570 1790 1884 2148 2355 2685 3140 3580 4710 5370 9420 10740 28103 56206 84309 112412 140515 152393 168618 281030 304786 337236 421545 457179 562060 609572 761965 843090 914358 1523930 1686180 1828716 2285895 3047860 4571790 9143580 23925701 27278347 47851402 54556694 71777103 81835041 95702804 109113388 119628505 136391735 143554206 163670082 239257010 272783470 287108412 327340164 358885515 409175205 478514020 545566940 717771030 818350410 1435542060 1636700820 4282700479 8565400958 12848101437 17130801916 21413502395 25696202874 42827004790 51392405748 64240507185 85654009580 128481014370 256962028740