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20320564056 = 23313237913219
BaseRepresentation
bin10010111011001100…
…110011001101011000
31221110011201121110120
4102323030303031120
5313104031022211
613200220113240
71316363641662
oct227314631530
957404647416
1020320564056
1186884795a1
123b31395820
131bbac25800
14daaacd532
157dde8cd06
hex4bb333358

20320564056 has 96 divisors (see below), whose sum is σ = 55159128000. Its totient is φ = 6235512192.

The previous prime is 20320564039. The next prime is 20320564079. The reversal of 20320564056 is 65046502302.

It is a super-2 number, since 2×203205640562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1530615 + ... + 1543833.

It is an arithmetic number, because the mean of its divisors is an integer number (574574250).

Almost surely, 220320564056 is an apocalyptic number.

20320564056 is a gapful number since it is divisible by the number (26) 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 20320564056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27579564000).

20320564056 is an abundant number, since it is smaller than the sum of its proper divisors (34838563944).

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

20320564056 is a wasteful number, since it uses less digits than its factorization.

20320564056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13633 (or 13616 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 20320564056 in words is "twenty billion, three hundred twenty million, five hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 379 507 676 758 1014 1137 1352 1516 2028 2274 3032 4056 4548 4927 9096 9854 13219 14781 19708 26438 29562 39416 39657 52876 59124 64051 79314 105752 118248 128102 158628 171847 192153 256204 317256 343694 384306 512408 515541 687388 768612 1031082 1374776 1537224 2062164 2234011 4124328 4468022 5010001 6702033 8936044 10020002 13404066 15030003 17872088 20040004 26808132 30060006 40080008 53616264 60120012 65130013 120240024 130260026 195390039 260520052 390780078 521040104 781560156 846690169 1563120312 1693380338 2540070507 3386760676 5080141014 6773521352 10160282028 20320564056