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256663298700 = 223452172831321
BaseRepresentation
bin1110111100001001010…
…0110010001010001100
3220112111022021111120000
43233002110302022030
513201121301024300
6313524241124300
724354233020404
oct3570224621214
9815438244500
10256663298700
1199939817186
12418b0029690
131b2846b6aa3
14c5cb763804
156a22cc4c00
hex3bc253228c

256663298700 has 540 divisors, whose sum is σ = 895146712152. Its totient is φ = 63593164800.

The previous prime is 256663298669. The next prime is 256663298747. The reversal of 256663298700 is 7892366652.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 179 ways as a sum of consecutive naturals, for example, 194294040 + ... + 194295360.

Almost surely, 2256663298700 is an apocalyptic number.

256663298700 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 256663298700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447573356076).

256663298700 is an abundant number, since it is smaller than the sum of its proper divisors (638483413452).

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

256663298700 is a wasteful number, since it uses less digits than its factorization.

256663298700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 256663298700 in words is "two hundred fifty-six billion, six hundred sixty-three million, two hundred ninety-eight thousand, seven hundred".