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21314460360 = 2335593010517
BaseRepresentation
bin10011110110011100…
…001101101011001000
32001000102220202212210
4103312130031223020
5322123000212420
613443002505120
71353122631564
oct236634155310
961012822783
1021314460360
1190485035a6
12416a2051a0
132018b0672b
141062acc6a4
1584b3659e0
hex4f670dac8

21314460360 has 64 divisors (see below), whose sum is σ = 65027188800. Its totient is φ = 5587517696.

The previous prime is 21314460353. The next prime is 21314460457. The reversal of 21314460360 is 6306441312.

It is a super-2 number, since 2×213144603602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1498179 + ... + 1512338.

It is an arithmetic number, because the mean of its divisors is an integer number (1016049825).

Almost surely, 221314460360 is an apocalyptic number.

21314460360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21314460360 is an abundant number, since it is smaller than the sum of its proper divisors (43712728440).

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

21314460360 is a wasteful number, since it uses less digits than its factorization.

21314460360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010590 (or 3010586 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 21314460360 in words is "twenty-one billion, three hundred fourteen million, four hundred sixty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 3010517 6021034 9031551 12042068 15052585 18063102 24084136 30105170 36126204 45157755 60210340 72252408 90315510 120420680 177620503 180631020 355241006 361262040 532861509 710482012 888102515 1065723018 1420964024 1776205030 2131446036 2664307545 3552410060 4262892072 5328615090 7104820120 10657230180 21314460360