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152554064013 = 3313434626963
BaseRepresentation
bin1000111000010011101…
…1100100100010001101
3112120202202101102001000
42032010323210202031
54444412320022023
6154025443010513
714010301102011
oct2160473444215
9476682342030
10152554064013
115977487925a
1225696069a39
131150275aa40
147552a76541
153e7ce39243
hex2384ee488d

152554064013 has 16 divisors (see below), whose sum is σ = 243391099840. Its totient is φ = 93879423792.

The previous prime is 152554063967. The next prime is 152554064029. The reversal of 152554064013 is 310460455251.

152554064013 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 5 + 4 + 0 + 640 + 1 + 3 = 666.

It is not a de Polignac number, because 152554064013 - 216 = 152553998477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152554764013) 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, 217313131 + ... + 217313832.

It is an arithmetic number, because the mean of its divisors is an integer number (15211943740).

Almost surely, 2152554064013 is an apocalyptic number.

152554064013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

152554064013 is a deficient number, since it is larger than the sum of its proper divisors (90837035827).

152554064013 is a wasteful number, since it uses less digits than its factorization.

152554064013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434626985 (or 434626979 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 152554064013 in words is "one hundred fifty-two billion, five hundred fifty-four million, sixty-four thousand, thirteen".

Divisors: 1 3 9 13 27 39 117 351 434626963 1303880889 3911642667 5650150519 11734928001 16950451557 50851354671 152554064013