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472170479105 = 513171332732063
BaseRepresentation
bin1101101111011111000…
…11011011111000000001
31200010202101001120110102
412313233203123320001
530214001120312410
61000525004012145
746053552565043
oct6675743337001
91603671046412
10472170479105
11172278a20556
1277614b31055
13356aa64c450
1418bd316da93
15c4378442a5
hex6def8dbe01

472170479105 has 32 divisors (see below), whose sum is σ = 646151675904. Its totient is φ = 328134306816.

The previous prime is 472170479057. The next prime is 472170479161. The reversal of 472170479105 is 501974071274.

It is a happy number.

It is not a de Polignac number, because 472170479105 - 28 = 472170478849 is a prime.

It is a super-4 number, since 4×4721704791054 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 472170479105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14710304 + ... + 14742366.

It is an arithmetic number, because the mean of its divisors is an integer number (20192239872).

Almost surely, 2472170479105 is an apocalyptic number.

It is an amenable number.

472170479105 is a deficient number, since it is larger than the sum of its proper divisors (173981196799).

472170479105 is a wasteful number, since it uses less digits than its factorization.

472170479105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45425.

The product of its (nonzero) digits is 493920, while the sum is 47.

The spelling of 472170479105 in words is "four hundred seventy-two billion, one hundred seventy million, four hundred seventy-nine thousand, one hundred five".

Divisors: 1 5 13 17 65 85 221 1105 13327 32063 66635 160315 173251 226559 416819 545071 866255 1132795 2084095 2725355 2945267 7085923 14726335 35429615 427303601 2136518005 5554946813 7264161217 27774734065 36320806085 94434095821 472170479105