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256902401320 = 23517859439811
BaseRepresentation
bin1110111101000010010…
…0111000110100101000
3220120002222012011200121
43233100210320310220
513202114003320240
6314004102013024
724363165244525
oct3572044706450
9816088164617
10256902401320
1199a51787554
1241958117174
131b2c20b2326
14c61140414c
156a38ca504a
hex3bd0938d28

256902401320 has 64 divisors (see below), whose sum is σ = 612746078400. Its totient is φ = 96603386880.

The previous prime is 256902401279. The next prime is 256902401339. The reversal of 256902401320 is 23104209652.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364215 + ... + 804025.

It is an arithmetic number, because the mean of its divisors is an integer number (9574157475).

Almost surely, 2256902401320 is an apocalyptic number.

256902401320 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 256902401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306373039200).

256902401320 is an abundant number, since it is smaller than the sum of its proper divisors (355843677080).

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

256902401320 is a wasteful number, since it uses less digits than its factorization.

256902401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440698 (or 440694 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 256902401320 in words is "two hundred fifty-six billion, nine hundred two million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 859 1718 3436 4295 6872 8590 14603 17180 29206 34360 58412 73015 116824 146030 292060 439811 584120 879622 1759244 2199055 3518488 4398110 7476787 8796220 14953574 17592440 29907148 37383935 59814296 74767870 149535740 299071480 377797649 755595298 1511190596 1888988245 3022381192 3777976490 6422560033 7555952980 12845120066 15111905960 25690240132 32112800165 51380480264 64225600330 128451200660 256902401320