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20014928505 = 325111331100333
BaseRepresentation
bin10010101000111110…
…111001001001111001
31220122212121201022100
4102220332321021321
5311442310203010
613110021214013
71305663041145
oct225076711171
956585551270
1020014928505
1185409a6030
123a66b61309
131b6c803880
14d7c290225
157c22192c0
hex4a8fb9279

20014928505 has 96 divisors (see below), whose sum is σ = 42072855552. Its totient is φ = 8668684800.

The previous prime is 20014928459. The next prime is 20014928537. The reversal of 20014928505 is 50582941002.

20014928505 is a `hidden beast` number, since 2 + 0 + 0 + 149 + 2 + 8 + 505 = 666.

It is not a de Polignac number, because 20014928505 - 29 = 20014927993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20014928505.

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, 149319 + ... + 249651.

It is an arithmetic number, because the mean of its divisors is an integer number (438258912).

Almost surely, 220014928505 is an apocalyptic number.

It is an amenable number.

20014928505 is an abundant number, since it is smaller than the sum of its proper divisors (22057927047).

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

20014928505 is a wasteful number, since it uses less digits than its factorization.

20014928505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100399 (or 100396 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 20014928505 in words is "twenty billion, fourteen million, nine hundred twenty-eight thousand, five hundred five".

Divisors: 1 3 5 9 11 13 15 31 33 39 45 55 65 93 99 117 143 155 165 195 279 341 403 429 465 495 585 715 1023 1209 1287 1395 1705 2015 2145 3069 3627 4433 5115 6045 6435 13299 15345 18135 22165 39897 66495 100333 199485 300999 501665 902997 1103663 1304329 1504995 3110323 3310989 3912987 4514985 5518315 6521645 9330969 9932967 11738961 14347619 15551615 16554945 19564935 27992907 34213553 40434199 43042857 46654845 49664835 58694805 71738095 102640659 121302597 129128571 139964535 171067765 202170995 215214285 307921977 363907791 444776189 513203295 606512985 645642855 1334328567 1539609885 1819538955 2223880945 4002985701 6671642835 20014928505