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93137504049 = 3483103313411
BaseRepresentation
bin101011010111101101…
…1011000011100110001
322220101220122102120000
41112233123120130301
53011221200112144
6110441535540213
76505014502452
oct1265733303461
9286356572500
1093137504049
1136554769347
121607368a669
138a23b4ba55
144717899129
152651a32769
hex15af6d8731

93137504049 has 40 divisors (see below), whose sum is σ = 140954433312. Its totient is φ = 61279623360.

The previous prime is 93137504029. The next prime is 93137504051. The reversal of 93137504049 is 94040573139.

93137504049 is a `hidden beast` number, since 9 + 3 + 137 + 504 + 0 + 4 + 9 = 666.

It is not a de Polignac number, because 93137504049 - 28 = 93137503793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 93137503995 and 93137504013.

It is not an unprimeable number, because it can be changed into a prime (93137504029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6938154 + ... + 6951564.

Almost surely, 293137504049 is an apocalyptic number.

It is an amenable number.

93137504049 is a deficient number, since it is larger than the sum of its proper divisors (47816929263).

93137504049 is a wasteful number, since it uses less digits than its factorization.

93137504049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14539 (or 14530 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 93137504049 in words is "ninety-three billion, one hundred thirty-seven million, five hundred four thousand, forty-nine".

Divisors: 1 3 9 27 81 83 249 747 1033 2241 3099 6723 9297 13411 27891 40233 83673 85739 120699 257217 362097 771651 1086291 1113113 2314953 3339339 6944859 10018017 13853563 30054051 41560689 90162153 124682067 374046201 1122138603 1149845729 3449537187 10348611561 31045834683 93137504049