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129357468 = 22326835261
BaseRepresentation
bin1111011010111…
…01011010011100
3100000102001002100
413231131122130
5231103414333
620500325100
73130343322
oct755353234
9300361070
10129357468
11670231a9
12373a3790
1320a521a6
1413273d12
15b553213
hex7b5d69c

129357468 has 36 divisors (see below), whose sum is σ = 327527928. Its totient is φ = 43047840.

The previous prime is 129357461. The next prime is 129357469. The reversal of 129357468 is 864753921.

129357468 is a `hidden beast` number, since 12 + 9 + 3 + 574 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129357461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21958 + ... + 27218.

It is an arithmetic number, because the mean of its divisors is an integer number (9097998).

Almost surely, 2129357468 is an apocalyptic number.

129357468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129357468 is an abundant number, since it is smaller than the sum of its proper divisors (198170460).

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

129357468 is a wasteful number, since it uses less digits than its factorization.

129357468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5949 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 129357468 is about 11373.5424560688. The cubic root of 129357468 is about 505.7437239536.

The spelling of 129357468 in words is "one hundred twenty-nine million, three hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 683 1366 2049 2732 4098 5261 6147 8196 10522 12294 15783 21044 24588 31566 47349 63132 94698 189396 3593263 7186526 10779789 14373052 21559578 32339367 43119156 64678734 129357468