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104628324717 = 3272237252437
BaseRepresentation
bin110000101110001010…
…1011000100101101101
3101000001201122121011200
41201130111120211231
53203234322342332
6120022100040113
710362534041400
oct1413425304555
9330051577150
10104628324717
1140410a63a54
121833b993039
139b35666317
1450c7a11d37
152ac572517c
hex185c55896d

104628324717 has 18 divisors (see below), whose sum is σ = 175804056558. Its totient is φ = 59787613872.

The previous prime is 104628324641. The next prime is 104628324721. The reversal of 104628324717 is 717423826401.

104628324717 is a `hidden beast` number, since 1 + 0 + 4 + 628 + 3 + 2 + 4 + 7 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85132067076 + 19496257641 = 291774^2 + 139629^2 .

It is not a de Polignac number, because 104628324717 - 27 = 104628324589 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104628324217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118625778 + ... + 118626659.

It is an arithmetic number, because the mean of its divisors is an integer number (9766892031).

Almost surely, 2104628324717 is an apocalyptic number.

It is an amenable number.

104628324717 is a deficient number, since it is larger than the sum of its proper divisors (71175731841).

104628324717 is a wasteful number, since it uses less digits than its factorization.

104628324717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237252457 (or 237252447 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 104628324717 in words is "one hundred four billion, six hundred twenty-eight million, three hundred twenty-four thousand, seven hundred seventeen".

Divisors: 1 3 7 9 21 49 63 147 441 237252437 711757311 1660767059 2135271933 4982301177 11625369413 14946903531 34876108239 104628324717