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21314504016 = 24321311385953
BaseRepresentation
bin10011110110011100…
…011000010101010000
32001000102222222202200
4103312130120111100
5322123003112031
613443003443200
71353123203061
oct236634302520
961012888680
1021314504016
119048533383
12416a226500
132018b20570
141062b00568
1584b3738e6
hex4f6718550

21314504016 has 60 divisors (see below), whose sum is σ = 64239552468. Its totient is φ = 6558308352.

The previous prime is 21314503963. The next prime is 21314504017. The reversal of 21314504016 is 61040541312.

It is a happy number.

21314504016 is a `hidden beast` number, since 213 + 1 + 45 + 0 + 401 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6746979600 + 14567524416 = 82140^2 + 120696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314504017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5691105 + ... + 5694848.

Almost surely, 221314504016 is an apocalyptic number.

21314504016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21314504016 is an abundant number, since it is smaller than the sum of its proper divisors (42925048452).

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

21314504016 is a wasteful number, since it uses less digits than its factorization.

21314504016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11385980 (or 11385971 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21314504016 in words is "twenty-one billion, three hundred fourteen million, five hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 11385953 22771906 34157859 45543812 68315718 91087624 102473577 136631436 148017389 182175248 204947154 273262872 296034778 409894308 444052167 546525744 592069556 819788616 888104334 1184139112 1332156501 1639577232 1776208668 2368278224 2664313002 3552417336 5328626004 7104834672 10657252008 21314504016