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20946823147008 = 293311137750047
BaseRepresentation
bin1001100001101000011111…
…11100111110111000000000
32202011111102010020220111000
410300310033330332320000
510221143043211201013
6112314500540052000
74261233543002043
oct460641774767000
982144363226430
1020946823147008
116746552647240
122423774834000
13b8c37a5b6995
14525b90092c5a
15264d1cdcc973
hex130d0ff3ee00

20946823147008 has 160 divisors (see below), whose sum is σ = 67640783569920. Its totient is φ = 6347522119680.

The previous prime is 20946823147001. The next prime is 20946823147039. The reversal of 20946823147008 is 80074132864902.

20946823147008 is a `hidden beast` number, since 2 + 0 + 94 + 6 + 82 + 3 + 1 + 470 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20946823147001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68722960 + ... + 69027087.

It is an arithmetic number, because the mean of its divisors is an integer number (422754897312).

Almost surely, 220946823147008 is an apocalyptic number.

It is an amenable number.

20946823147008 is an abundant number, since it is smaller than the sum of its proper divisors (46693960422912).

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

20946823147008 is a wasteful number, since it uses less digits than its factorization.

20946823147008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137750085 (or 137750063 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20946823147008 in words is "twenty trillion, nine hundred forty-six billion, eight hundred twenty-three million, one hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 152064 137750047 275500094 413250141 551000188 826500282 1102000376 1239750423 1515250517 1653000564 2204000752 2479500846 3030501034 3306001128 3719251269 4408001504 4545751551 4959001692 6061002068 6612002256 7438502538 8816003008 9091503102 9918003384 12122004136 13224004512 13637254653 14877005076 17632006016 18183006204 19836006768 24244008272 26448009024 27274509306 29754010152 35264012032 36366012408 39672013536 40911763959 48488016544 52896018048 54549018612 59508020304 70528024064 72732024816 79344027072 81823527918 96976033088 105792036096 109098037224 119016040608 145464049632 158688054144 163647055836 193952066176 211584072192 218196074448 238032081216 290928099264 317376108288 327294111672 387904132352 436392148896 476064162432 581856198528 634752216576 654588223344 775808264704 872784297792 952128324864 1163712397056 1309176446688 1745568595584 1904256649728 2327424794112 2618352893376 3491137191168 5236705786752 6982274382336 10473411573504 20946823147008