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152406737920 = 210529766941
BaseRepresentation
bin1000110111110000100…
…1100100010000000000
3112120101111011110122001
42031330021210100000
54444112111103140
6154003101153344
714003531616613
oct2157411442000
9476344143561
10152406737920
11596a96a2a58
122565485b854
13114ab086c38
14753b28617a
153e70036e9a
hex237c264400

152406737920 has 44 divisors (see below), whose sum is σ = 365597581644. Its totient is φ = 60962693120.

The previous prime is 152406737911. The next prime is 152406737941. The reversal of 152406737920 is 29737604251.

It can be written as a sum of positive squares in 2 ways, for example, as 43517297664 + 108889440256 = 208608^2 + 329984^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14878351 + ... + 14888590.

Almost surely, 2152406737920 is an apocalyptic number.

152406737920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152406737920 is an abundant number, since it is smaller than the sum of its proper divisors (213190843724).

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

152406737920 is an equidigital number, since it uses as much as digits as its factorization.

152406737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29766966 (or 29766948 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 152406737920 in words is "one hundred fifty-two billion, four hundred six million, seven hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 29766941 59533882 119067764 148834705 238135528 297669410 476271056 595338820 952542112 1190677640 1905084224 2381355280 3810168448 4762710560 7620336896 9525421120 15240673792 19050842240 30481347584 38101684480 76203368960 152406737920