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21638683612 = 2272133311621
BaseRepresentation
bin10100001001110001…
…000001101111011100
32001212001000000120101
4110021301001233130
5323304000333422
613535104030444
71364140530100
oct241161015734
961761000511
1021638683612
1191a45222a7
12423a902424
13206b036000
141093ba9900
15869a5bc27
hex509c41bdc

21638683612 has 144 divisors (see below), whose sum is σ = 49289076480. Its totient is φ = 8279107200.

The previous prime is 21638683603. The next prime is 21638683639.

21638683612 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13348162 + ... + 13349782.

Almost surely, 221638683612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21638683612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24644538240).

21638683612 is an abundant number, since it is smaller than the sum of its proper divisors (27650392868).

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

21638683612 is a wasteful number, since it uses less digits than its factorization.

21638683612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1674 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The spelling of 21638683612 in words is "twenty-one billion, six hundred thirty-eight million, six hundred eighty-three thousand, six hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 169 182 196 217 338 364 403 434 637 676 806 868 1183 1274 1519 1612 1621 2197 2366 2548 2821 3038 3242 4394 4732 5239 5642 6076 6484 8281 8788 10478 11284 11347 15379 16562 19747 20956 21073 22694 30758 33124 36673 39494 42146 45388 50251 61516 68107 73346 78988 79429 84292 100502 107653 136214 146692 147511 158858 201004 215306 256711 272428 273949 295022 317716 351757 430612 476749 513422 547898 590044 653263 703514 953498 1026844 1032577 1095796 1306526 1407028 1906996 1917643 2065154 2462299 2613052 3337243 3561337 3835286 4130308 4572841 4924598 6674486 7122674 7670572 8492419 9145682 9849196 13348972 13423501 14245348 16984838 18291364 24929359 26847002 32009887 33969676 49858718 53694004 59446933 64019774 99717436 110401447 118893866 128039548 174505513 220802894 237787732 349011026 416128531 441605788 698022052 772810129 832257062 1545620258 1664514124 3091240516 5409670903 10819341806 21638683612