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129935125296 = 2433300775753
BaseRepresentation
bin111100100000010111…
…1001010101100110000
3110102101101212021021000
41321000233022230300
54112101343002141
6135405200402000
712246625225164
oct1710057125460
9412341767230
10129935125296
1150117a99879
1221223016300
13c33960bb32
146408a1cca4
1535a72eb5b6
hex1e40bcab30

129935125296 has 40 divisors (see below), whose sum is σ = 372961934960. Its totient is φ = 43311708288.

The previous prime is 129935125273. The next prime is 129935125303. The reversal of 129935125296 is 692521539921.

129935125296 is a `hidden beast` number, since 1 + 29 + 93 + 5 + 1 + 2 + 529 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 150387445 + ... + 150388308.

It is an arithmetic number, because the mean of its divisors is an integer number (9324048374).

Almost surely, 2129935125296 is an apocalyptic number.

129935125296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129935125296 is an abundant number, since it is smaller than the sum of its proper divisors (243026809664).

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

129935125296 is a wasteful number, since it uses less digits than its factorization.

129935125296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300775770 (or 300775758 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 129935125296 in words is "one hundred twenty-nine billion, nine hundred thirty-five million, one hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 300775753 601551506 902327259 1203103012 1804654518 2406206024 2706981777 3609309036 4812412048 5413963554 7218618072 8120945331 10827927108 14437236144 16241890662 21655854216 32483781324 43311708432 64967562648 129935125296