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21153696960 = 2635112003191
BaseRepresentation
bin10011101100110110…
…111100110011000000
32000121020102010221210
4103230312330303000
5321310321300320
613415021050120
71346131312614
oct235466746300
960536363853
1021153696960
118a7578a690
1241243b6940
131cc1709666
141049601344
1583c1ac0e0
hex4ecdbccc0

21153696960 has 112 divisors (see below), whose sum is σ = 73268750592. Its totient is φ = 5128166400.

The previous prime is 21153696959. The next prime is 21153696979. The reversal of 21153696960 is 6969635112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 991036 + ... + 1012155.

Almost surely, 221153696960 is an apocalyptic number.

21153696960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21153696960 is an abundant number, since it is smaller than the sum of its proper divisors (52115053632).

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

21153696960 is a wasteful number, since it uses less digits than its factorization.

21153696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003222 (or 2003212 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 21153696960 in words is "twenty-one billion, one hundred fifty-three million, six hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 2003191 4006382 6009573 8012764 10015955 12019146 16025528 20031910 22035101 24038292 30047865 32051056 40063820 44070202 48076584 60095730 64102112 66105303 80127640 88140404 96153168 110175505 120191460 128204224 132210606 160255280 176280808 192306336 220351010 240382920 264421212 320510560 330526515 352561616 384612672 440702020 480765840 528842424 641021120 661053030 705123232 881404040 961531680 1057684848 1322106060 1410246464 1762808080 1923063360 2115369696 2644212120 3525616160 4230739392 5288424240 7051232320 10576848480 21153696960