Search a number
-
+
21919667675490 = 23251359317538283
BaseRepresentation
bin1001111101111100100100…
…00000010110000101100010
32212121111111022212110002200
410332332102000112011202
510333112434411103430
6114341431210354030
74421433541026144
oct476762200260542
985544438773080
1021919667675490
116a91095a5a492
12256021842b916
13c30028908480
1455acbbb86c94
152802aa5ed460
hex13ef92016162

21919667675490 has 96 divisors (see below), whose sum is σ = 62415325103040. Its totient is φ = 5304159462528.

The previous prime is 21919667675467. The next prime is 21919667675531. The reversal of 21919667675490 is 9457676691912.

It is a happy number.

21919667675490 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 9 + 6 + 6 + 76 + 7 + 549 + 0 = 666.

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, 158700112 + ... + 158838171.

It is an arithmetic number, because the mean of its divisors is an integer number (650159636490).

Almost surely, 221919667675490 is an apocalyptic number.

21919667675490 is an abundant number, since it is smaller than the sum of its proper divisors (40495657427550).

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

21919667675490 is a wasteful number, since it uses less digits than its factorization.

21919667675490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317538368 (or 317538365 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 21919667675490 in words is "twenty-one trillion, nine hundred nineteen billion, six hundred sixty-seven million, six hundred seventy-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 59 65 78 90 117 118 130 177 195 234 295 354 390 531 585 590 767 885 1062 1170 1534 1770 2301 2655 3835 4602 5310 6903 7670 11505 13806 23010 34515 69030 317538283 635076566 952614849 1587691415 1905229698 2857844547 3175382830 4127997679 4763074245 5715689094 8255995358 9526148490 12383993037 14289222735 18734758697 20639988395 24767986074 28578445470 37151979111 37469517394 41279976790 56204276091 61919965185 74303958222 93673793485 112408552182 123839930370 168612828273 185759895555 187347586970 243551863061 281021380455 337225656546 371519791110 487103726122 562042760910 730655589183 843064141365 1217759315305 1461311178366 1686128282730 2191966767549 2435518630610 3653277945915 4383933535098 7306555891830 10959833837745 21919667675490