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9921387214560 = 253539313525769
BaseRepresentation
bin1001000001100000000011…
…0000101011011011100000
31022010110211112101222110110
42100120000300223123200
52300023000111331220
633033453344131320
72042540136605103
oct220300060533340
938113745358413
109921387214560
113185700483858
1211429b8606b40
1356c776546833
142642aa6d873a
15123128640be0
hex90600c2b6e0

9921387214560 has 96 divisors (see below), whose sum is σ = 31253224131360. Its totient is φ = 2645630926848.

The previous prime is 9921387214447. The next prime is 9921387214573. The reversal of 9921387214560 is 654127831299.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×99213872145602 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9921387214560.

It is a congruent number.

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, 18607356 + ... + 19133124.

It is an arithmetic number, because the mean of its divisors is an integer number (325554418035).

It is a 1-persistent number, because it is pandigital, but 2⋅9921387214560 = 19842774429120 is not.

Almost surely, 29921387214560 is an apocalyptic number.

It is an amenable number.

9921387214560 is an abundant number, since it is smaller than the sum of its proper divisors (21331836916800).

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

9921387214560 is a wasteful number, since it uses less digits than its factorization.

9921387214560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565100 (or 565092 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 9921387214560 in words is "nine trillion, nine hundred twenty-one billion, three hundred eighty-seven million, two hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 39313 78626 117939 157252 196565 235878 314504 393130 471756 525769 589695 629008 786260 943512 1051538 1179390 1258016 1572520 1577307 1887024 2103076 2358780 2628845 3145040 3154614 3774048 4206152 4717560 5257690 6290080 6309228 7886535 8412304 9435120 10515380 12618456 15773070 16824608 18870240 21030760 25236912 31546140 42061520 50473824 63092280 84123040 126184560 252369120 20669556697 41339113394 62008670091 82678226788 103347783485 124017340182 165356453576 206695566970 248034680364 310043350455 330712907152 413391133940 496069360728 620086700910 661425814304 826782267880 992138721456 1240173401820 1653564535760 1984277442912 2480346803640 3307129071520 4960693607280 9921387214560