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21540683136 = 273717471391
BaseRepresentation
bin10100000011111011…
…001011110110000000
32001121012121002012010
4110003323023312000
5323103403330021
613521243332520
71361540533320
oct240373136600
961535532163
1021540683136
119154177075
124211b21140
13205394266b
141084b79280
1586114e976
hex503ecbd80

21540683136 has 128 divisors (see below), whose sum is σ = 69238056960. Its totient is φ = 5792440320.

The previous prime is 21540683089. The next prime is 21540683137. The reversal of 21540683136 is 63138604512.

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

It is a junction number, because it is equal to n+sod(n) for n = 21540683094 and 21540683103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21540683137) 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, 190000 + ... + 281391.

It is an arithmetic number, because the mean of its divisors is an integer number (540922320).

Almost surely, 221540683136 is an apocalyptic number.

It is an amenable number.

21540683136 is an abundant number, since it is smaller than the sum of its proper divisors (47697373824).

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

21540683136 is a wasteful number, since it uses less digits than its factorization.

21540683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471432 (or 471420 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 21540683136 in words is "twenty-one billion, five hundred forty million, six hundred eighty-three thousand, one hundred thirty-six".

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 471391 942782 1414173 1885564 2828346 3299737 3771128 5656692 6599474 7542256 8013647 9899211 11313384 13198948 15084512 16027294 19798422 22626768 24040941 26397896 30169024 32054588 39596844 45253536 48081882 52795792 56095529 60338048 64109176 79193688 90507072 96163764 105591584 112191058 128218352 158387376 168286587 181014144 192327528 211183168 224382116 256436704 316774752 336573174 384655056 422366336 448764232 512873408 633549504 673146348 769310112 897528464 1025746816 1267099008 1346292696 1538620224 1795056928 2692585392 3077240448 3590113856 5385170784 7180227712 10770341568 21540683136