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20332112320 = 2651310214787
BaseRepresentation
bin10010111011111000…
…110110100111000000
31221110222110022201001
4102323320312213000
5313120010043240
613201311421344
71316564050252
oct227370664700
957428408631
1020332112320
118693a46a13
123b35224854
131bc0439cc0
14dac457cd2
157deebe89a
hex4bbe369c0

20332112320 has 112 divisors (see below), whose sum is σ = 52202108448. Its totient is φ = 7498321920.

The previous prime is 20332112291. The next prime is 20332112377. The reversal of 20332112320 is 2321123302.

It is a congruent number.

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, 4244967 + ... + 4249753.

It is an arithmetic number, because the mean of its divisors is an integer number (466090254).

Almost surely, 220332112320 is an apocalyptic number.

20332112320 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 20332112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26101054224).

20332112320 is an abundant number, since it is smaller than the sum of its proper divisors (31869996128).

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

20332112320 is a wasteful number, since it uses less digits than its factorization.

20332112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20332112320 its reverse (2321123302), we get a palindrome (22653235622).

The spelling of 20332112320 in words is "twenty billion, three hundred thirty-two million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1021 1040 2042 2080 4084 4160 4787 5105 8168 9574 10210 13273 16336 19148 20420 23935 26546 32672 38296 40840 47870 53092 62231 65344 66365 76592 81680 95740 106184 124462 132730 153184 163360 191480 212368 248924 265460 306368 311155 326720 382960 424736 497848 530920 622310 765920 849472 995696 1061840 1244620 1531840 1991392 2123680 2489240 3982784 4247360 4887527 4978480 9775054 9956960 19550108 19913920 24437635 39100216 48875270 63537851 78200432 97750540 127075702 156400864 195501080 254151404 312801728 317689255 391002160 508302808 635378510 782004320 1016605616 1270757020 1564008640 2033211232 2541514040 4066422464 5083028080 10166056160 20332112320