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21089413314960 = 2435194624871341
BaseRepresentation
bin1001100101110010000101…
…11111010011100110010000
32202200010110110210221200120
410302321002333103212100
510231012104302034320
6112504202010150240
74304442215302314
oct462710277234620
982603413727616
1021089413314960
1167a0a7401a951
122447329a22380
13b9c952988623
1452ca396c3b44
152688b61db440
hex132e42fd3990

21089413314960 has 80 divisors (see below), whose sum is σ = 68818085568960. Its totient is φ = 5327851783680.

The previous prime is 21089413314899. The next prime is 21089413314971. The reversal of 21089413314960 is 6941331498012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2312431111 + ... + 2312440230.

It is an arithmetic number, because the mean of its divisors is an integer number (860226069612).

Almost surely, 221089413314960 is an apocalyptic number.

21089413314960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21089413314960 is an abundant number, since it is smaller than the sum of its proper divisors (47728672254000).

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

21089413314960 is a wasteful number, since it uses less digits than its factorization.

21089413314960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624871376 (or 4624871370 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 21089413314960 in words is "twenty-one trillion, eighty-nine billion, four hundred thirteen million, three hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 4624871341 9249742682 13874614023 18499485364 23124356705 27749228046 36998970728 46248713410 55498456092 69373070115 73997941456 87872555479 92497426820 110996912184 138746140230 175745110958 184994853640 221993824368 263617666437 277492280460 351490221916 369989707280 439362777395 527235332874 554984560920 702980443832 878725554790 1054470665748 1109969121840 1318088332185 1405960887664 1757451109580 2108941331496 2636176664370 3514902219160 4217882662992 5272353328740 7029804438320 10544706657480 21089413314960