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20409948264 = 23317158331601
BaseRepresentation
bin10011000000100001…
…110001100001101000
31221200101220210112210
4103000201301201220
5313244421321024
613213132005120
71321530461226
oct230041614150
957611823483
1020409948264
11872397a242
123b573007a0
131c035c0384
14db8919b16
157e6c47129
hex4c0871868

20409948264 has 64 divisors (see below), whose sum is σ = 54062173440. Its totient is φ = 6398873600.

The previous prime is 20409948263. The next prime is 20409948269. The reversal of 20409948264 is 46284990402.

It is a super-2 number, since 2×204099482642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20409948263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630064 + ... + 661664.

It is an arithmetic number, because the mean of its divisors is an integer number (844721460).

Almost surely, 220409948264 is an apocalyptic number.

20409948264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20409948264 is an abundant number, since it is smaller than the sum of its proper divisors (33652225176).

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

20409948264 is a wasteful number, since it uses less digits than its factorization.

20409948264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33210 (or 33206 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 20409948264 in words is "twenty billion, four hundred nine million, nine hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1583 3166 4749 6332 9498 12664 18996 26911 31601 37992 53822 63202 80733 94803 107644 126404 161466 189606 215288 252808 322932 379212 537217 645864 758424 1074434 1611651 2148868 3223302 4297736 6446604 12893208 50024383 100048766 150073149 200097532 300146298 400195064 600292596 850414511 1200585192 1700829022 2551243533 3401658044 5102487066 6803316088 10204974132 20409948264