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21678299294976 = 28334372937861
BaseRepresentation
bin1001110110111010111110…
…10101000010110100000000
32211202102110221200021221000
410323131133111002310000
510320134124104414401
6114034512340332000
74365130315450602
oct473353725026400
984672427607830
1021678299294976
1169a8795888765
1225214966a4000
13c13340ba943c
1454d341897172
15278d80496186
hex13b75f542d00

21678299294976 has 144 divisors (see below), whose sum is σ = 65597395568320. Its totient is φ = 7058050836480.

The previous prime is 21678299294959. The next prime is 21678299294987. The reversal of 21678299294976 is 67949299287612.

21678299294976 is a `hidden beast` number, since 2 + 16 + 7 + 8 + 2 + 99 + 29 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 21678299294895 and 21678299294904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36171715 + ... + 36766146.

Almost surely, 221678299294976 is an apocalyptic number.

It is an amenable number.

21678299294976 is an abundant number, since it is smaller than the sum of its proper divisors (43919096273344).

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

21678299294976 is an equidigital number, since it uses as much as digits as its factorization.

21678299294976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72937929 (or 72937909 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 81.

The spelling of 21678299294976 in words is "twenty-one trillion, six hundred seventy-eight billion, two hundred ninety-nine million, two hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 516 576 688 768 774 864 1032 1152 1161 1376 1548 1728 2064 2304 2322 2752 3096 3456 4128 4644 5504 6192 6912 8256 9288 11008 12384 16512 18576 24768 33024 37152 49536 74304 99072 148608 297216 72937861 145875722 218813583 291751444 437627166 583502888 656440749 875254332 1167005776 1312881498 1750508664 1969322247 2334011552 2625762996 3136328023 3501017328 3938644494 4668023104 5251525992 6272656046 7002034656 7877288988 9336046208 9408984069 10503051984 12545312092 14004069312 15754577976 18672092416 18817968138 21006103968 25090624184 28008138624 28226952207 31509155952 37635936276 42012207936 50181248368 56016277248 56453904414 63018311904 75271872552 84024415872 84680856621 100362496736 112907808828 126036623808 150543745104 168048831744 169361713242 200724993472 225815617656 252073247616 301087490208 338723426484 401449986944 451631235312 504146495232 602174980416 677446852968 802899973888 903262470624 1204349960832 1354893705936 1806524941248 2408699921664 2709787411872 3613049882496 5419574823744 7226099764992 10839149647488 21678299294976