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129457953 = 3331154669
BaseRepresentation
bin1111011011101…
…01111100100001
3100000121010221000
413231311330201
5231120123303
620502422213
73131242302
oct755657441
9300533830
10129457953
1167091749
1237431969
1320a88b51
141329c7a9
15b572da3
hex7b75f21

129457953 has 16 divisors (see below), whose sum is σ = 197977600. Its totient is φ = 83520720.

The previous prime is 129457949. The next prime is 129457957. The reversal of 129457953 is 359754921.

It is a happy number.

129457953 is a `hidden beast` number, since 1 + 29 + 4 + 579 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (129457949) and next prime (129457957).

It is not a de Polignac number, because 129457953 - 22 = 129457949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129457899 and 129457908.

It is not an unprimeable number, because it can be changed into a prime (129457957) 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 15 ways as a sum of consecutive naturals, for example, 76498 + ... + 78171.

It is an arithmetic number, because the mean of its divisors is an integer number (12373600).

Almost surely, 2129457953 is an apocalyptic number.

It is an amenable number.

129457953 is a deficient number, since it is larger than the sum of its proper divisors (68519647).

129457953 is a wasteful number, since it uses less digits than its factorization.

129457953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154709 (or 154703 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 129457953 is about 11377.9590876396. The cubic root of 129457953 is about 505.8746441229.

The spelling of 129457953 in words is "one hundred twenty-nine million, four hundred fifty-seven thousand, nine hundred fifty-three".

Divisors: 1 3 9 27 31 93 279 837 154669 464007 1392021 4176063 4794739 14384217 43152651 129457953