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20318955984 = 24321953140123
BaseRepresentation
bin10010111011000110…
…101010100111010000
31221110001200220121100
4102323012222213100
5313103123042414
613200121424400
71316344163505
oct227306524720
957401626540
1020318955984
118687580408
123b3093b100
131bba7b18a2
14daa7d14ac
157ddc71609
hex4bb1aa9d0

20318955984 has 120 divisors (see below), whose sum is σ = 60987569760. Its totient is φ = 6295401216.

The previous prime is 20318955977. The next prime is 20318956027. The reversal of 20318955984 is 48955981302.

20318955984 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 8 + 9 + 559 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20318955984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74947 + ... + 215069.

It is an arithmetic number, because the mean of its divisors is an integer number (508229748).

Almost surely, 220318955984 is an apocalyptic number.

20318955984 is a gapful number since it is divisible by the number (24) 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 20318955984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30493784880).

20318955984 is an abundant number, since it is smaller than the sum of its proper divisors (40668613776).

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

20318955984 is a wasteful number, since it uses less digits than its factorization.

20318955984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140209 (or 140200 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 20318955984 in words is "twenty billion, three hundred eighteen million, nine hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 424 456 477 636 684 848 912 954 1007 1272 1368 1908 2014 2544 2736 3021 3816 4028 6042 7632 8056 9063 12084 16112 18126 24168 36252 48336 72504 140123 145008 280246 420369 560492 840738 1120984 1261107 1681476 2241968 2522214 2662337 3362952 5044428 5324674 6725904 7426519 7987011 10088856 10649348 14853038 15974022 20177712 21298696 22279557 23961033 29706076 31948044 42597392 44559114 47922066 59412152 63896088 66838671 89118228 95844132 118824304 127792176 133677342 141103861 178236456 191688264 267354684 282207722 356472912 383376528 423311583 534709368 564415444 846623166 1069418736 1128830888 1269934749 1693246332 2257661776 2539869498 3386492664 5079738996 6772985328 10159477992 20318955984