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20264741904 = 24311379101267
BaseRepresentation
bin10010110111110111…
…110110110000010000
31221022021200112212110
4102313313312300100
5313000233220104
613150503425320
71315115315121
oct226767666020
957267615773
1020264741904
118659a11590
123b16755240
131bac4ac354
14da351c048
157d9112e89
hex4b7df6c10

20264741904 has 80 divisors (see below), whose sum is σ = 57260977920. Its totient is φ = 6124567680.

The previous prime is 20264741879. The next prime is 20264741923. The reversal of 20264741904 is 40914746202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149479 + ... + 250745.

It is an arithmetic number, because the mean of its divisors is an integer number (715762224).

Almost surely, 220264741904 is an apocalyptic number.

20264741904 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 20264741904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28630488960).

20264741904 is an abundant number, since it is smaller than the sum of its proper divisors (36996236016).

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

20264741904 is a wasteful number, since it uses less digits than its factorization.

20264741904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101668 (or 101662 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 20264741904 in words is "twenty billion, two hundred sixty-four million, seven hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 379 528 758 1137 1516 2274 3032 4169 4548 6064 8338 9096 12507 16676 18192 25014 33352 50028 66704 100056 101267 200112 202534 303801 405068 607602 810136 1113937 1215204 1620272 2227874 2430408 3341811 4455748 4860816 6683622 8911496 13367244 17822992 26734488 38380193 53468976 76760386 115140579 153520772 230281158 307041544 422182123 460562316 614083088 844364246 921124632 1266546369 1688728492 1842249264 2533092738 3377456984 5066185476 6754913968 10132370952 20264741904