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72815004255 = 35721931168197
BaseRepresentation
bin100001111010000011…
…1001100101001011111
320221221121021110202110
41003310013030221133
52143111120114010
653241210125103
75155265216100
oct1036407145137
9227847243673
1072815004255
1128976198474
1212141720793
136b356c9146
14374a8243a7
151d62811120
hex10f41cca5f

72815004255 has 96 divisors (see below), whose sum is σ = 147260712960. Its totient is φ = 30517482240.

The previous prime is 72815004253. The next prime is 72815004263. The reversal of 72815004255 is 55240051827.

It is not a de Polignac number, because 72815004255 - 21 = 72815004253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72815004253) by changing a digit.

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, 348817 + ... + 517013.

It is an arithmetic number, because the mean of its divisors is an integer number (1533965760).

Almost surely, 272815004255 is an apocalyptic number.

72815004255 is an abundant number, since it is smaller than the sum of its proper divisors (74445708705).

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

72815004255 is a wasteful number, since it uses less digits than its factorization.

72815004255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168269 (or 168262 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The spelling of 72815004255 in words is "seventy-two billion, eight hundred fifteen million, four thousand, two hundred fifty-five".

Divisors: 1 3 5 7 15 19 21 31 35 49 57 93 95 105 133 147 155 217 245 285 399 465 589 651 665 735 931 1085 1519 1767 1995 2793 2945 3255 4123 4557 4655 7595 8835 12369 13965 20615 22785 28861 61845 86583 144305 168197 432915 504591 840985 1177379 2522955 3195743 3532137 5214107 5886895 8241653 9587229 15642321 15978715 17660685 22370201 24724959 26070535 36498749 41208265 47936145 67110603 78211605 99068033 109496247 111851005 123624795 156591407 182493745 255491243 297204099 335553015 469774221 495340165 547481235 693476231 766473729 782957035 1277456215 1486020495 2080428693 2348871105 3467381155 3832368645 4854333617 10402143465 14563000851 24271668085 72815004255