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12697835472 = 2432712597059
BaseRepresentation
bin10111101001101100…
…11001011111010000
31012202221012212122200
423310312121133100
5202001121213342
65455554403200
7626443551330
oct136466313720
935687185580
1012697835472
115426662803
122564590500
1312748c691a
148865910c0
154e4b6694c
hex2f4d997d0

12697835472 has 60 divisors (see below), whose sum is σ = 40612921440. Its totient is φ = 3627952704.

The previous prime is 12697835467. The next prime is 12697835473. The reversal of 12697835472 is 27453879621.

It is a happy number.

12697835472 is a `hidden beast` number, since 1 + 2 + 6 + 97 + 8 + 3 + 547 + 2 = 666.

It is a super-2 number, since 2×126978354722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12697835473) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6297522 + ... + 6299537.

It is an arithmetic number, because the mean of its divisors is an integer number (676882024).

Almost surely, 212697835472 is an apocalyptic number.

12697835472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12697835472 is an abundant number, since it is smaller than the sum of its proper divisors (27915085968).

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

12697835472 is a wasteful number, since it uses less digits than its factorization.

12697835472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597080 (or 12597071 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 12697835472 in words is "twelve billion, six hundred ninety-seven million, eight hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 12597059 25194118 37791177 50388236 75582354 88179413 100776472 113373531 151164708 176358826 201552944 226747062 264538239 302329416 352717652 453494124 529076478 604658832 705435304 793614717 906988248 1058152956 1410870608 1587229434 1813976496 2116305912 3174458868 4232611824 6348917736 12697835472