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133037542053 = 321311313077699
BaseRepresentation
bin111101111100110100…
…1111100101010100101
3110201101121121100222100
41323321221330222211
54134430102321203
6141041104122313
712416536310043
oct1737151745245
9421347540870
10133037542053
115146a251469
122194a006399
13c7122a1bb0
146620a85393
1536d9870ea3
hex1ef9a7caa5

133037542053 has 48 divisors (see below), whose sum is σ = 208965556800. Its totient is φ = 81072133632.

The previous prime is 133037542051. The next prime is 133037542067. The reversal of 133037542053 is 350245730331.

133037542053 is a `hidden beast` number, since 1 + 3 + 30 + 37 + 542 + 0 + 53 = 666.

It is not a de Polignac number, because 133037542053 - 21 = 133037542051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133037541999 and 133037542017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133037542051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17275998 + ... + 17283696.

It is an arithmetic number, because the mean of its divisors is an integer number (4353449100).

Almost surely, 2133037542053 is an apocalyptic number.

133037542053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133037542053 is a deficient number, since it is larger than the sum of its proper divisors (75928014747).

133037542053 is a wasteful number, since it uses less digits than its factorization.

133037542053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 133037542053 in words is "one hundred thirty-three billion, thirty-seven million, five hundred forty-two thousand, fifty-three".

Divisors: 1 3 9 13 39 113 117 339 1017 1307 1469 3921 4407 7699 11763 13221 16991 23097 50973 69291 100087 147691 152919 300261 443073 869987 900783 1329219 1919983 2609961 5759949 7829883 10062593 11309831 17279847 30187779 33929493 90563337 101788479 130813709 392441127 1137073009 1177323381 3411219027 10233657081 14781949117 44345847351 133037542053