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20774585936 = 24136269
BaseRepresentation
bin10011010110010000…
…110000011001010000
31222121211001022101202
4103112100300121100
5320021243222221
613313235250332
71333546031636
oct232620603120
958554038352
1020774585936
1188a0791995
1240394499a8
131c61000000
141011117356
15818c72d0b
hex4d6430650

20774585936 has 70 divisors (see below), whose sum is σ = 43767089910. Its totient is φ = 9552626304.

The previous prime is 20774585911. The next prime is 20774585981. The reversal of 20774585936 is 63958547702.

It can be written as a sum of positive squares in 7 ways, for example, as 5285290000 + 15489295936 = 72700^2 + 124456^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 77228810 + ... + 77229078.

Almost surely, 220774585936 is an apocalyptic number.

20774585936 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 20774585936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21883544955).

20774585936 is an abundant number, since it is smaller than the sum of its proper divisors (22992503974).

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

20774585936 is an frugal number, since it uses more digits than its factorization.

20774585936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 20774585936 in words is "twenty billion, seven hundred seventy-four million, five hundred eighty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 269 338 538 676 1076 1352 2152 2197 2704 3497 4304 4394 6994 8788 13988 17576 27976 28561 35152 45461 55952 57122 90922 114244 181844 228488 363688 371293 456976 590993 727376 742586 1181986 1485172 2363972 2970344 4727944 4826809 5940688 7682909 9455888 9653618 15365818 19307236 30731636 38614472 61463272 77228944 99877817 122926544 199755634 399511268 799022536 1298411621 1598045072 2596823242 5193646484 10387292968 20774585936