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428527725824 = 2811152176039
BaseRepresentation
bin1100011110001100011…
…11100010110100000000
31111222002211111222212202
412033012033202310000
524010111044211244
6524510220212332
742650213366222
oct6170617426400
91458084458782
10428527725824
11155812803010
126b07509a0a8
133154399ac93
1416a52c84412
15b23115304e
hex63c63e2d00

428527725824 has 36 divisors (see below), whose sum is σ = 933143477280. Its totient is φ = 194785328640.

The previous prime is 428527725797. The next prime is 428527725833.

428527725824 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 428527725824.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 76085204 + ... + 76090835.

Almost surely, 2428527725824 is an apocalyptic number.

428527725824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428527725824 is an abundant number, since it is smaller than the sum of its proper divisors (504615751456).

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

428527725824 is a wasteful number, since it uses less digits than its factorization.

428527725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152176066 (or 152176052 counting only the distinct ones).

The product of its digits is 20070400, while the sum is 56.

The spelling of 428527725824 in words is "four hundred twenty-eight billion, five hundred twenty-seven million, seven hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 152176039 304352078 608704156 1217408312 1673936429 2434816624 3347872858 4869633248 6695745716 9739266496 13391491432 19478532992 26782982864 38957065984 53565965728 107131931456 214263862912 428527725824