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12737391072 = 253718954451
BaseRepresentation
bin10111101110011010…
…10010100111100000
31012212200122111201220
423313031102213200
5202041233003242
65503530255040
7630434015640
oct136715224740
935780574656
1012737391072
115446a1a48a
122575887480
13127cb660c3
1488b92a520
154e837bbec
hex2f73529e0

12737391072 has 48 divisors (see below), whose sum is σ = 38212175232. Its totient is φ = 3639254400.

The previous prime is 12737391061. The next prime is 12737391077. The reversal of 12737391072 is 27019373721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×127373910722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12737391077) 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, 9476554 + ... + 9477897.

It is an arithmetic number, because the mean of its divisors is an integer number (796086984).

Almost surely, 212737391072 is an apocalyptic number.

12737391072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12737391072 is an abundant number, since it is smaller than the sum of its proper divisors (25474784160).

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

12737391072 is a wasteful number, since it uses less digits than its factorization.

12737391072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18954471 (or 18954463 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The spelling of 12737391072 in words is "twelve billion, seven hundred thirty-seven million, three hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18954451 37908902 56863353 75817804 113726706 132681157 151635608 227453412 265362314 303271216 398043471 454906824 530724628 606542432 796086942 909813648 1061449256 1592173884 1819627296 2122898512 3184347768 4245797024 6368695536 12737391072