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256996699652 = 22711834404869
BaseRepresentation
bin1110111101011000110…
…0100110111000000100
3220120100112122000200102
43233112030212320010
513202312123342102
6314021311103232
724365421622010
oct3572614467004
9816315560612
10256996699652
1199a9aa34260
1241983811b18
131b3087aa864
14c61db4d540
156a421d0402
hex3bd6326e04

256996699652 has 24 divisors (see below), whose sum is σ = 560720072640. Its totient is φ = 100128584160.

The previous prime is 256996699643. The next prime is 256996699693.

256996699652 is nontrivially palindromic in base 10.

256996699652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2569966996522 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256996699652.

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 7 ways as a sum of consecutive naturals, for example, 417202127 + ... + 417202742.

It is an arithmetic number, because the mean of its divisors is an integer number (23363336360).

Almost surely, 2256996699652 is an apocalyptic number.

256996699652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256996699652 is an abundant number, since it is smaller than the sum of its proper divisors (303723372988).

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

256996699652 is a wasteful number, since it uses less digits than its factorization.

256996699652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834404891 (or 834404889 counting only the distinct ones).

The product of its digits is 850305600, while the sum is 74.

The spelling of 256996699652 in words is "two hundred fifty-six billion, nine hundred ninety-six million, six hundred ninety-nine thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 834404869 1668809738 3337619476 5840834083 9178453559 11681668166 18356907118 23363336332 36713814236 64249174913 128498349826 256996699652