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21679873152 = 273717474437
BaseRepresentation
bin10100001100001110…
…001001110010000000
32001221220111122222220
4110030032021302000
5323400021420102
613543134531040
71365150611160
oct241416116200
961856448886
1021679873152
1192157a5643
124250666a80
132076728112
14109944c5a0
1586d4961bc
hex50c389c80

21679873152 has 128 divisors (see below), whose sum is σ = 69685453440. Its totient is φ = 5829869568.

The previous prime is 21679873151. The next prime is 21679873207. The reversal of 21679873152 is 25137897612.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 21679873095 and 21679873104.

It is not an unprimeable number, because it can be changed into a prime (21679873151) 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, 191523 + ... + 282914.

It is an arithmetic number, because the mean of its divisors is an integer number (544417605).

Almost surely, 221679873152 is an apocalyptic number.

It is an amenable number.

21679873152 is an abundant number, since it is smaller than the sum of its proper divisors (48005580288).

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

21679873152 is a wasteful number, since it uses less digits than its factorization.

21679873152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474478 (or 474466 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The spelling of 21679873152 in words is "twenty-one billion, six hundred seventy-nine million, eight hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 474437 948874 1423311 1897748 2846622 3321059 3795496 5693244 6642118 7590992 8065429 9963177 11386488 13284236 15181984 16130858 19926354 22772976 24196287 26568472 30363968 32261716 39852708 45545952 48392574 53136944 56458003 60727936 64523432 79705416 91091904 96785148 106273888 112916006 129046864 159410832 169374009 182183808 193570296 212547776 225832012 258093728 318821664 338748018 387140592 425095552 451664024 516187456 637643328 677496036 774281184 903328048 1032374912 1275286656 1354992072 1548562368 1806656096 2709984144 3097124736 3613312192 5419968288 7226624384 10839936576 21679873152