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104164603641 = 3471571170139
BaseRepresentation
bin110000100000010110…
…0011011011011111001
3100221212102002010110000
41201000230123123321
53201312114304031
6115504052543213
710345203344040
oct1410054333371
9327772063400
10104164603641
11401a322649a
1218230621b09
139a90574157
1450821c1557
152a99b763e6
hex1840b1b6f9

104164603641 has 40 divisors (see below), whose sum is σ = 178965892160. Its totient is φ = 59143455072.

The previous prime is 104164603519. The next prime is 104164603657. The reversal of 104164603641 is 146306461401.

104164603641 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 4 + 6 + 0 + 3 + 641 = 666.

It is not a de Polignac number, because 104164603641 - 219 = 104164079353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104164603596 and 104164603605.

It is not an unprimeable number, because it can be changed into a prime (104164603681) 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, 496051 + ... + 674088.

It is an arithmetic number, because the mean of its divisors is an integer number (4474147304).

Almost surely, 2104164603641 is an apocalyptic number.

It is an amenable number.

104164603641 is a deficient number, since it is larger than the sum of its proper divisors (74801288519).

104164603641 is a wasteful number, since it uses less digits than its factorization.

104164603641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170315 (or 1170306 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 104164603641 in words is "one hundred four billion, one hundred sixty-four million, six hundred three thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 157 189 471 567 1099 1413 3297 4239 9891 12717 29673 89019 1170139 3510417 8190973 10531251 24572919 31593753 73718757 94781259 183711823 221156271 551135469 663468813 1285982761 1653406407 3857948283 4960219221 11573844849 14880657663 34721534547 104164603641