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253405134153 = 3347199688837
BaseRepresentation
bin1110110000000000011…
…1110111110101001001
3220020002020110121001000
43230000013313311021
513122433203243103
6312225051245213
724210421046403
oct3540007676511
9806066417030
10253405134153
1198517656a06
1241140a49809
131ab85691882
14c39cb57b73
1568d1c37aa3
hex3b001f7d49

253405134153 has 16 divisors (see below), whose sum is σ = 383402568960. Its totient is φ = 165342356208.

The previous prime is 253405134109. The next prime is 253405134161. The reversal of 253405134153 is 351431504352.

253405134153 is a `hidden beast` number, since 2 + 53 + 4 + 0 + 513 + 41 + 53 = 666.

253405134153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253405134153 - 214 = 253405117769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253405134253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99843150 + ... + 99845687.

It is an arithmetic number, because the mean of its divisors is an integer number (23962660560).

Almost surely, 2253405134153 is an apocalyptic number.

It is an amenable number.

253405134153 is a deficient number, since it is larger than the sum of its proper divisors (129997434807).

253405134153 is a wasteful number, since it uses less digits than its factorization.

253405134153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199688893 (or 199688887 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 253405134153 in words is "two hundred fifty-three billion, four hundred five million, one hundred thirty-four thousand, one hundred fifty-three".

Divisors: 1 3 9 27 47 141 423 1269 199688837 599066511 1797199533 5391598599 9385375339 28156126017 84468378051 253405134153