Search a number
-
+
12954047688 = 233359972443
BaseRepresentation
bin11000001000001111…
…10001010011001000
31020102210022210202000
430010013301103020
5203012214011223
65541230111000
7636004405611
oct140407612310
936383283660
1012954047688
11554824983a
12261634b460
1312b5a02a9a
148ac606c08
1550c3c6543
hex3041f14c8

12954047688 has 32 divisors (see below), whose sum is σ = 35983466400. Its totient is φ = 4318015824.

The previous prime is 12954047681. The next prime is 12954047693. The reversal of 12954047688 is 88674045921.

It is a happy number.

12954047688 is a `hidden beast` number, since 1 + 2 + 95 + 4 + 0 + 476 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12954047681) 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 7 ways as a sum of consecutive naturals, for example, 29986006 + ... + 29986437.

It is an arithmetic number, because the mean of its divisors is an integer number (1124483325).

Almost surely, 212954047688 is an apocalyptic number.

12954047688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12954047688 is an abundant number, since it is smaller than the sum of its proper divisors (23029418712).

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

12954047688 is a wasteful number, since it uses less digits than its factorization.

12954047688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59972458 (or 59972448 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12954047688 in words is "twelve billion, nine hundred fifty-four million, forty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 59972443 119944886 179917329 239889772 359834658 479779544 539751987 719669316 1079503974 1439338632 1619255961 2159007948 3238511922 4318015896 6477023844 12954047688