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93073921696413 = 32753139200538053
BaseRepresentation
bin10101001010011001110110…
…000010100110001010011101
3110012112210001122001210220100
4111022121312002212022131
544144410342423241123
6525541322551411313
725414240355005650
oct2512316602461235
9405483048053810
1093073921696413
1127724479402519
12a532424083b39
133cc1aaa59b4a8
1418dab323a1897
15ab60edb3a643
hex54a6760a629d

93073921696413 has 48 divisors (see below), whose sum is σ = 157671039576960. Its totient is φ = 51806198201472.

The previous prime is 93073921696369. The next prime is 93073921696421. The reversal of 93073921696413 is 31469612937039.

93073921696413 is a `hidden beast` number, since 9 + 3 + 0 + 73 + 92 + 1 + 69 + 6 + 413 = 666.

It is not a de Polignac number, because 93073921696413 - 237 = 92936482742941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93073921696013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99804906 + ... + 100733147.

It is an arithmetic number, because the mean of its divisors is an integer number (3284813324520).

Almost surely, 293073921696413 is an apocalyptic number.

It is an amenable number.

93073921696413 is a deficient number, since it is larger than the sum of its proper divisors (64597117880547).

93073921696413 is a wasteful number, since it uses less digits than its factorization.

93073921696413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200538258 (or 200538255 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 93073921696413 in words is "ninety-three trillion, seventy-three billion, nine hundred twenty-one million, six hundred ninety-six thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 53 63 139 159 371 417 477 973 1113 1251 2919 3339 7367 8757 22101 51569 66303 154707 464121 200538053 601614159 1403766371 1804842477 4211299113 10628516809 12633897339 27874789367 31885550427 74399617663 83624368101 95656651281 195123525569 223198852989 250873104303 585370576707 669596558967 1477363836451 1756111730121 4432091509353 10341546855157 13296274528059 31024640565471 93073921696413