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21667382034672 = 24311233748221749
BaseRepresentation
bin1001110110100110101001…
…00111000000000011110000
32211201101022002221000012210
410323103110213000003300
510314444244300102142
6114025505145452120
74364262632331423
oct473232447000360
984641262830183
1021667382034672
1169a40a3322490
12251b34a4a1040
13c122c11611ba
1454c9c79a39ba
15278941cec49c
hex13b4d49c00f0

21667382034672 has 160 divisors (see below), whose sum is σ = 65439615168000. Its totient is φ = 6110659906560.

The previous prime is 21667382034667. The next prime is 21667382034769. The reversal of 21667382034672 is 27643028376612.

It is a super-2 number, since 2×216673820346722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 23661547 + ... + 24560202.

It is an arithmetic number, because the mean of its divisors is an integer number (408997594800).

Almost surely, 221667382034672 is an apocalyptic number.

21667382034672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21667382034672 is an abundant number, since it is smaller than the sum of its proper divisors (43772233133328).

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

21667382034672 is a wasteful number, since it uses less digits than its factorization.

21667382034672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48221831 (or 48221825 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 21667382034672 in words is "twenty-one trillion, six hundred sixty-seven billion, three hundred eighty-two million, thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 37 44 46 48 66 69 74 88 92 111 132 138 148 176 184 222 253 264 276 296 368 407 444 506 528 552 592 759 814 851 888 1012 1104 1221 1518 1628 1702 1776 2024 2442 2553 3036 3256 3404 4048 4884 5106 6072 6512 6808 9361 9768 10212 12144 13616 18722 19536 20424 28083 37444 40848 56166 74888 112332 149776 224664 449328 48221749 96443498 144665247 192886996 289330494 385773992 530439239 578660988 771547984 1060878478 1109100227 1157321976 1591317717 1784204713 2121756956 2218200454 2314643952 3182635434 3327300681 3568409426 4243513912 4436400908 5352614139 6365270868 6654601362 7136818852 8487027824 8872801816 10705228278 12200102497 12730541736 13309202724 14273637704 17745603632 19626251843 21410456556 24400204994 25461083472 26618405448 28547275408 36600307491 39252503686 41036708399 42820913112 48800409988 53236810896 58878755529 73200614982 78505007372 82073416798 85641826224 97600819976 117757511058 123110125197 146401229964 157010014744 164146833596 195201639952 235515022116 246220250394 292802459928 314020029488 328293667192 451403792389 471030044232 492440500788 585604919856 656587334384 902807584778 942060088464 984881001576 1354211377167 1805615169556 1969762003152 2708422754334 3611230339112 5416845508668 7222460678224 10833691017336 21667382034672