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21255456060 = 223251011677001
BaseRepresentation
bin10011110010111011…
…001000010100111100
32000212022220001012100
4103302323020110330
5322012344043220
613433054105100
71351505252436
oct236273102474
960768801170
1021255456060
119018172813
1241524ab190
132009817a47
141058d2d656
158460acd90
hex4f2ec853c

21255456060 has 144 divisors (see below), whose sum is σ = 65512504512. Its totient is φ = 5577600000.

The previous prime is 21255456059. The next prime is 21255456083. The reversal of 21255456060 is 6065455212.

21255456060 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 5 + 45 + 606 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3032560 + ... + 3039560.

It is an arithmetic number, because the mean of its divisors is an integer number (454947948).

Almost surely, 221255456060 is an apocalyptic number.

21255456060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21255456060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32756252256).

21255456060 is an abundant number, since it is smaller than the sum of its proper divisors (44257048452).

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

21255456060 is a wasteful number, since it uses less digits than its factorization.

21255456060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 21255456060 in words is "twenty-one billion, two hundred fifty-five million, four hundred fifty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 167 180 202 303 334 404 501 505 606 668 835 909 1002 1010 1212 1503 1515 1670 1818 2004 2020 2505 3006 3030 3340 3636 4545 5010 6012 6060 7001 7515 9090 10020 14002 15030 16867 18180 21003 28004 30060 33734 35005 42006 50601 63009 67468 70010 84012 84335 101202 105015 126018 140020 151803 168670 202404 210030 252036 253005 303606 315045 337340 420060 506010 607212 630090 707101 759015 1012020 1169167 1260180 1414202 1518030 2121303 2338334 2828404 3036060 3507501 3535505 4242606 4676668 5845835 6363909 7015002 7071010 8485212 10522503 10606515 11691670 12727818 14030004 14142020 17537505 21045006 21213030 23383340 25455636 31819545 35075010 42090012 42426060 52612515 63639090 70150020 105225030 118085867 127278180 210450060 236171734 354257601 472343468 590429335 708515202 1062772803 1180858670 1417030404 1771288005 2125545606 2361717340 3542576010 4251091212 5313864015 7085152020 10627728030 21255456060