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2625426864 = 243319331489
BaseRepresentation
bin1001110001111100…
…1101010110110000
320202222012111121000
42130133031112300
520334102124424
61112304002000
7122026521504
oct23437152660
96688174530
102625426864
111127a92075
12613300300
1332ac06528
141ac980304
151057543c9
hex9c7cd5b0

2625426864 has 80 divisors (see below), whose sum is σ = 7575234400. Its totient is φ = 870580224.

The previous prime is 2625426851. The next prime is 2625426893. The reversal of 2625426864 is 4686245262.

2625426864 is a `hidden beast` number, since 26 + 2 + 542 + 6 + 86 + 4 = 666.

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 15 ways as a sum of consecutive naturals, for example, 67632 + ... + 99120.

It is an arithmetic number, because the mean of its divisors is an integer number (94690430).

Almost surely, 22625426864 is an apocalyptic number.

2625426864 is a gapful number since it is divisible by the number (24) 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 2625426864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787617200).

2625426864 is an abundant number, since it is smaller than the sum of its proper divisors (4949807536).

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

2625426864 is a wasteful number, since it uses less digits than its factorization.

2625426864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31699 (or 31687 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 2625426864 is about 51238.9194265453. The cubic root of 2625426864 is about 1379.5368578146.

The spelling of 2625426864 in words is "two billion, six hundred twenty-five million, four hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 193 216 386 432 579 772 1158 1544 1737 2316 3088 3474 4632 5211 6948 9264 10422 13896 20844 27792 31489 41688 62978 83376 94467 125956 188934 251912 283401 377868 503824 566802 755736 850203 1133604 1511472 1700406 2267208 3400812 4534416 6077377 6801624 12154754 13603248 18232131 24309508 36464262 48619016 54696393 72928524 97238032 109392786 145857048 164089179 218785572 291714096 328178358 437571144 656356716 875142288 1312713432 2625426864