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20406709416024 = 2332319142790957
BaseRepresentation
bin1001010001111010011101…
…01010100111000001011000
32200020212021122222112011100
410220331032222213001120
510133320420102303044
6111222413552231400
74204223166020361
oct450751652470130
980225248875140
1020406709416024
116558489510a58
122356b5983b560
13b50462976019
14507993538b68
15255c5a7e9869
hex128f4eaa7058

20406709416024 has 48 divisors (see below), whose sum is σ = 57051015577920. Its totient is φ = 6582809488320.

The previous prime is 20406709416007. The next prime is 20406709416097. The reversal of 20406709416024 is 42061490760402.

20406709416024 is a `hidden beast` number, since 204 + 0 + 6 + 7 + 0 + 9 + 416 + 0 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4571393247 + ... + 4571397710.

It is an arithmetic number, because the mean of its divisors is an integer number (1188562824540).

Almost surely, 220406709416024 is an apocalyptic number.

20406709416024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20406709416024 is an abundant number, since it is smaller than the sum of its proper divisors (36644306161896).

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

20406709416024 is a wasteful number, since it uses less digits than its factorization.

20406709416024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142791000 (or 9142790993 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20406709416024 in words is "twenty trillion, four hundred six billion, seven hundred nine million, four hundred sixteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 9142790957 18285581914 27428372871 36571163828 54856745742 73142327656 82285118613 109713491484 164570237226 219426982968 283426519667 329140474452 566853039334 658280948904 850279559001 1133706078668 1700559118002 2267412157336 2550838677003 3401118236004 5101677354006 6802236472008 10203354708012 20406709416024