Search a number
-
+
12937097538 = 23237912011579
BaseRepresentation
bin11000000110001110…
…00111000101000010
31020101121102122111200
430003013013011002
5202443344110123
65535422522030
7635410341351
oct140307070502
936347378450
1012937097538
115539721952
122610736316
1312b2349901
148aa273998
1550ab79143
hex3031c7142

12937097538 has 48 divisors (see below), whose sum is σ = 28145551200. Its totient is φ = 4294684800.

The previous prime is 12937097531. The next prime is 12937097539. The reversal of 12937097538 is 83579073921.

12937097538 is a `hidden beast` number, since 12 + 9 + 3 + 7 + 0 + 97 + 538 = 666.

It is a super-2 number, since 2×129370975382 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12937097531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8192433 + ... + 8194011.

It is an arithmetic number, because the mean of its divisors is an integer number (586365650).

Almost surely, 212937097538 is an apocalyptic number.

12937097538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12937097538 is an abundant number, since it is smaller than the sum of its proper divisors (15208453662).

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

12937097538 is a wasteful number, since it uses less digits than its factorization.

12937097538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 12937097538 in words is "twelve billion, nine hundred thirty-seven million, ninety-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 379 758 1137 1201 1579 2274 2402 3158 3411 3603 4737 6822 7206 9474 10809 14211 21618 28422 455179 598441 910358 1196882 1365537 1795323 1896379 2731074 3590646 3792758 4096611 5385969 5689137 8193222 10771938 11378274 17067411 34134822 718727641 1437455282 2156182923 4312365846 6468548769 12937097538