Search a number
-
+
21979932929584 = 24717231209741491
BaseRepresentation
bin1001111111101100110100…
…00110000010111000110000
32212211021001022120120001121
410333312122012002320300
510340104400312221314
6114425235232112024
74425666141160330
oct477663206027060
985737038516047
1021979932929584
117004701139903
12256ba37095614
13c359112b9236
1455db979670c0
15281b36299d24
hex13fd9a182e30

21979932929584 has 160 divisors (see below), whose sum is σ = 53779081061376. Its totient is φ = 8479477923840.

The previous prime is 21979932929527. The next prime is 21979932929597. The reversal of 21979932929584 is 48592923997912.

It is a super-2 number, since 2×219799329295842 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529731079 + ... + 529772569.

Almost surely, 221979932929584 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 21979932929584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889540530688).

21979932929584 is an abundant number, since it is smaller than the sum of its proper divisors (31799148131792).

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

21979932929584 is a wasteful number, since it uses less digits than its factorization.

21979932929584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53643 (or 53637 counting only the distinct ones).

The product of its digits is 1587237120, while the sum is 79.

The spelling of 21979932929584 in words is "twenty-one trillion, nine hundred seventy-nine billion, nine hundred thirty-two million, nine hundred twenty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 322 368 391 476 644 782 952 1288 1564 1904 2576 2737 3128 5474 6256 10948 12097 21896 24194 41491 43792 48388 82982 84679 96776 165964 169358 193552 205649 278231 290437 331928 338716 411298 556462 580874 663856 677432 705347 822596 954293 1112924 1161748 1354864 1410694 1439543 1645192 1908586 1947617 2225848 2323496 2821388 2879086 3290384 3817172 3895234 4451696 4646992 4729927 4937429 5642776 5758172 6680051 7634344 7790468 9459854 9874858 11285552 11516344 13360102 15268688 15580936 16222981 18919708 19749716 23032688 26720204 31161872 32445962 33109489 37839416 39499432 53440408 64891924 66218978 75678832 78998864 106880816 113560867 129783848 132437956 227121734 259567696 264875912 454243468 501916627 529751824 908486936 1003833254 1816973872 2007666508 3513416389 4015333016 7026832778 8030666032 8532582659 11544082421 14053665556 17065165318 23088164842 28107331112 34130330636 46176329684 56214662224 59728078613 68260661272 80808576947 92352659368 119456157226 136521322544 161617153894 184705318736 196249401157 238912314452 323234307788 392498802314 477824628904 646468615576 784997604628 955649257808 1292937231152 1373745808099 1569995209256 2747491616198 3139990418512 5494983232396 10989966464792 21979932929584