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52936002405 = 325111323393517
BaseRepresentation
bin110001010011001110…
…110100101101100101
312001122012102112202200
4301103032310231211
51331403104034110
640152442125113
73552542411346
oct612316645545
9161565375680
1052936002405
11204a4aa2120
12a3141b0799
134cb8107860
1427c26380cd
15159c4e66c0
hexc533b4b65

52936002405 has 96 divisors (see below), whose sum is σ = 107873700480. Its totient is φ = 23674775040.

The previous prime is 52936002377. The next prime is 52936002419. The reversal of 52936002405 is 50420063925.

52936002405 is a `hidden beast` number, since 5 + 2 + 9 + 3 + 600 + 2 + 40 + 5 = 666.

It is not a de Polignac number, because 52936002405 - 29 = 52936001893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52936002405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15049707 + ... + 15053223.

It is an arithmetic number, because the mean of its divisors is an integer number (1123684380).

Almost surely, 252936002405 is an apocalyptic number.

52936002405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52936002405 is an abundant number, since it is smaller than the sum of its proper divisors (54937698075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52936002405 is a wasteful number, since it uses less digits than its factorization.

52936002405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 52936002405 in words is "fifty-two billion, nine hundred thirty-six million, two thousand, four hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 2339 3517 6435 7017 10551 11695 17585 21051 25729 30407 31653 35085 38687 45721 52755 77187 91221 105255 116061 128645 137163 152035 158265 193435 228605 231561 273663 334477 348183 385935 411489 456105 502931 580305 685815 1003431 1157805 1368315 1508793 1672385 1740915 2057445 2514655 3010293 4526379 5017155 7543965 8226263 15051465 22631895 24678789 41131315 74036367 90488893 106941419 123393945 271466679 320824257 370181835 452444465 534707095 814400037 962472771 1176355609 1357333395 1604121285 3529066827 4072000185 4812363855 5881778045 10587200481 17645334135 52936002405