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256470308100 = 223452193164057
BaseRepresentation
bin1110111011011011010…
…0100101010100000100
3220111222212010120020000
43232312310211110010
513200222344324400
6313453144441300
724346400435526
oct3566664452404
9814885116200
10256470308100
119984a891516
1241857479230
131b253715076
14c5adc87a16
156a10da2600
hex3bb6d25504

256470308100 has 180 divisors, whose sum is σ = 835688155764. Its totient is φ = 68037304320.

The previous prime is 256470308089. The next prime is 256470308147. The reversal of 256470308100 is 1803074652.

256470308100 is a `hidden beast` number, since 2 + 5 + 647 + 0 + 3 + 0 + 8 + 1 + 0 + 0 = 666.

256470308100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 490976964 + 255979331136 = 22158^2 + 505944^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2564703081002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 1481272 + ... + 1645328.

Almost surely, 2256470308100 is an apocalyptic number.

256470308100 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 256470308100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417844077882).

256470308100 is an abundant number, since it is smaller than the sum of its proper divisors (579217847664).

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

256470308100 is a wasteful number, since it uses less digits than its factorization.

256470308100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164276 (or 164260 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 256470308100 in words is "two hundred fifty-six billion, four hundred seventy million, three hundred eight thousand, one hundred".