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20972623815 = 33511131318293
BaseRepresentation
bin10011100010000100…
…001101011111000111
32000010121200200022000
4103202010031133013
5320422442430230
613345032040343
71341502234563
oct234204153707
960117620260
1020972623815
118992554760
1240938330b3
131c9304b1a0
14102d5486a3
1582b340b60
hex4e210d7c7

20972623815 has 128 divisors (see below), whose sum is σ = 44142658560. Its totient is φ = 9313574400.

The previous prime is 20972623811. The next prime is 20972623873. The reversal of 20972623815 is 51832627902.

20972623815 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 2 + 623 + 8 + 15 = 666.

It is not a de Polignac number, because 20972623815 - 22 = 20972623811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20972623811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2524809 + ... + 2533101.

It is an arithmetic number, because the mean of its divisors is an integer number (344864520).

Almost surely, 220972623815 is an apocalyptic number.

20972623815 is an abundant number, since it is smaller than the sum of its proper divisors (23170034745).

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

20972623815 is a wasteful number, since it uses less digits than its factorization.

20972623815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20972623815 in words is "twenty billion, nine hundred seventy-two million, six hundred twenty-three thousand, eight hundred fifteen".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 131 135 143 165 195 297 351 393 429 495 585 655 715 1179 1287 1441 1485 1703 1755 1965 2145 3537 3861 4323 5109 5895 6435 7205 8293 8515 12969 15327 17685 18733 19305 21615 24879 25545 38907 41465 45981 56199 64845 74637 76635 91223 93665 107809 124395 168597 194535 223911 229905 273669 280995 323427 373185 456115 505791 539045 821007 842985 970281 1086383 1119555 1185899 1368345 1617135 2463021 2528955 2910843 3259149 3557697 4105035 4851405 5431915 5929495 9777447 10673091 11950213 12315105 14122979 14554215 16295745 17788485 29332341 32019273 35850639 42368937 48887235 53365455 59751065 70614895 107551917 127106811 146661705 155352769 160096365 179253195 211844685 322655751 381320433 466058307 537759585 635534055 776763845 1398174921 1613278755 1906602165 2330291535 4194524763 6990874605 20972623815