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19921685652 = 22321141229927
BaseRepresentation
bin10010100011011011…
…001100110010010100
31220102101011111011100
4102203123030302110
5311244422420102
613052450510100
71303451351121
oct224333146224
956371144140
1019921685652
1184a32aa320
123a3b895330
131b563b789b
14d6db3b748
157b8e4ba1c
hex4a36ccc94

19921685652 has 108 divisors (see below), whose sum is σ = 56310010848. Its totient is φ = 5889436800.

The previous prime is 19921685579. The next prime is 19921685683. The reversal of 19921685652 is 25658612991.

19921685652 is a `hidden beast` number, since 19 + 9 + 2 + 1 + 68 + 565 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 650713 + ... + 680639.

Almost surely, 219921685652 is an apocalyptic number.

19921685652 is a gapful number since it is divisible by the number (12) 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 19921685652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28155005424).

19921685652 is an abundant number, since it is smaller than the sum of its proper divisors (36388325196).

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

19921685652 is a wasteful number, since it uses less digits than its factorization.

19921685652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30030 (or 29984 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 19921685652 in words is "nineteen billion, nine hundred twenty-one million, six hundred eighty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1681 1804 2706 3362 4059 5043 5412 6724 8118 10086 15129 16236 18491 20172 29927 30258 36982 55473 59854 60516 73964 89781 110946 119708 166419 179562 221892 269343 329197 332838 359124 538686 658394 665676 987591 1077372 1227007 1316788 1975182 2454014 2962773 3681021 3950364 4908028 5925546 7362042 11043063 11851092 13497077 14724084 22086126 26994154 40491231 44172252 50307287 53988308 80982462 100614574 121473693 150921861 161964924 201229148 242947386 301843722 452765583 485894772 553380157 603687444 905531166 1106760314 1660140471 1811062332 2213520628 3320280942 4980421413 6640561884 9960842826 19921685652