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5105153025405 = 3251979463163243
BaseRepresentation
bin100101001001010001011…
…0101010010010101111101
3200002001021220002021121200
41022102202311102111331
51132120323133303110
614505135214450113
71034556310505256
oct112224265222575
920061256067550
105105153025405
1116990a0878944
126a54b5503939
132b054c350564
1413913ad3db2d
158cbe403d6c0
hex4a4a2d5257d

5105153025405 has 96 divisors (see below), whose sum is σ = 9453002956800. Its totient is φ = 2541278323584.

The previous prime is 5105153025403. The next prime is 5105153025419. The reversal of 5105153025405 is 5045203515015.

5105153025405 is a `hidden beast` number, since 5 + 10 + 51 + 53 + 0 + 2 + 540 + 5 = 666.

It is not a de Polignac number, because 5105153025405 - 21 = 5105153025403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5105153025405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105153025403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31191714 + ... + 31354956.

It is an arithmetic number, because the mean of its divisors is an integer number (98468780800).

Almost surely, 25105153025405 is an apocalyptic number.

It is an amenable number.

5105153025405 is a deficient number, since it is larger than the sum of its proper divisors (4347849931395).

5105153025405 is a wasteful number, since it uses less digits than its factorization.

5105153025405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163815 (or 163812 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 5105153025405 in words is "five trillion, one hundred five billion, one hundred fifty-three million, twenty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 19 45 57 79 95 171 237 285 395 463 711 855 1185 1389 1501 2315 3555 4167 4503 6945 7505 8797 13509 20835 22515 26391 36577 43985 67545 79173 109731 131955 163243 182885 329193 395865 489729 548655 694963 816215 1469187 1645965 2084889 2448645 3101617 3474815 6254667 7345935 9304851 10424445 12896197 15508085 27914553 31273335 38688591 46524255 64480985 75581509 116065773 139572765 193442955 226744527 245027743 377907545 580328865 680233581 735083229 1133722635 1225138715 1436048671 2205249687 3401167905 3675416145 4308146013 5970939211 7180243355 11026248435 12924438039 17912817633 21540730065 29854696055 53738452899 64622190195 89564088165 113447845009 268692264495 340343535027 567239225045 1021030605081 1701717675135 5105153025405