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20619418368 = 283313132767
BaseRepresentation
bin10011001101000000…
…110101101100000000
31222020000001222111210
4103031000311230000
5314212032341433
613250013410120
71326653110233
oct231500655400
958200058453
1020619418368
11882114022a
123bb5499940
131c37b11c93
14dd868541a
1580a322463
hex4cd035b00

20619418368 has 144 divisors (see below), whose sum is σ = 56849494016. Its totient is φ = 6627778560.

The previous prime is 20619418367. The next prime is 20619418411. The reversal of 20619418368 is 86381491602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20619418367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7450521 + ... + 7453287.

Almost surely, 220619418368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20619418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28424747008).

20619418368 is an abundant number, since it is smaller than the sum of its proper divisors (36230075648).

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

20619418368 is a wasteful number, since it uses less digits than its factorization.

20619418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 20619418368 in words is "twenty billion, six hundred nineteen million, four hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 313 372 384 496 626 744 768 939 992 1252 1488 1878 1984 2504 2767 2976 3756 3968 5008 5534 5952 7512 7936 8301 9703 10016 11068 11904 15024 16602 19406 20032 22136 23808 29109 30048 33204 38812 40064 44272 58218 60096 66408 77624 80128 85777 88544 116436 120192 132816 155248 171554 177088 232872 240384 257331 265632 310496 343108 354176 465744 514662 531264 620992 686216 708352 866071 931488 1029324 1062528 1241984 1372432 1732142 1862976 2058648 2125056 2483968 2598213 2744864 3464284 3725952 4117296 5196426 5489728 6928568 7451904 8234592 10392852 10979456 13857136 16469184 20785704 21958912 26848201 27714272 32938368 41571408 53696402 55428544 65876736 80544603 83142816 107392804 110857088 161089206 166285632 214785608 221714176 322178412 332571264 429571216 644356824 665142528 859142432 1288713648 1718284864 2577427296 3436569728 5154854592 6873139456 10309709184 20619418368