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104005746117 = 3471314110127
BaseRepresentation
bin110000011011100111…
…0011011110111000101
3100221110100011022220000
41200313032123313011
53201000432333432
6115440220031513
710341234153420
oct1406716336705
9327410138800
10104005746117
1140121594489
12181a7392599
139a66693710
14506906c9b7
152a8ac4757c
hex183739bdc5

104005746117 has 40 divisors (see below), whose sum is σ = 191220454656. Its totient is φ = 54860169888.

The previous prime is 104005746109. The next prime is 104005746127. The reversal of 104005746117 is 711647500401.

104005746117 is a `hidden beast` number, since 10 + 4 + 0 + 0 + 574 + 61 + 17 = 666.

It is not a de Polignac number, because 104005746117 - 23 = 104005746109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104005746127) 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, 7047693 + ... + 7062434.

Almost surely, 2104005746117 is an apocalyptic number.

It is an amenable number.

104005746117 is a deficient number, since it is larger than the sum of its proper divisors (87214708539).

104005746117 is a wasteful number, since it uses less digits than its factorization.

104005746117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14110159 (or 14110150 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 104005746117 in words is "one hundred four billion, five million, seven hundred forty-six thousand, one hundred seventeen".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 567 819 1053 2457 7371 14110127 42330381 98770889 126991143 183431651 296312667 380973429 550294953 888938001 1142920287 1284021557 1650884859 2666814003 3852064671 4952654577 8000442009 11556194013 14857963731 34668582039 104005746117