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12697595920 = 245241658589
BaseRepresentation
bin10111101001101010…
…11111000000010000
31012202220202201001101
423310311133000100
5202001041032140
65455545314144
7626441533042
oct136465370020
935686681041
1012697595920
115426509829
122564495954
131274841889
1488652ba92
154e4b1a99a
hex2f4d5f010

12697595920 has 40 divisors (see below), whose sum is σ = 29644453080. Its totient is φ = 5057955840.

The previous prime is 12697595917. The next prime is 12697595921. The reversal of 12697595920 is 2959579621.

It can be written as a sum of positive squares in 4 ways, for example, as 611671824 + 12085924096 = 24732^2 + 109936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×126975959202 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12697595921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310015 + ... + 348574.

It is an arithmetic number, because the mean of its divisors is an integer number (741111327).

Almost surely, 212697595920 is an apocalyptic number.

12697595920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12697595920 is an abundant number, since it is smaller than the sum of its proper divisors (16946857160).

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

12697595920 is a wasteful number, since it uses less digits than its factorization.

12697595920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658843 (or 658837 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 55.

The spelling of 12697595920 in words is "twelve billion, six hundred ninety-seven million, five hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 19280 658589 1317178 2634356 3292945 5268712 6585890 10537424 13171780 26343560 52687120 158719949 317439898 634879796 793599745 1269759592 1587199490 2539519184 3174398980 6348797960 12697595920