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20467308096 = 263419872
BaseRepresentation
bin10011000011111100…
…100101011001000000
31221211101211222110000
4103003330211121000
5313404112324341
613222541240000
71323125151114
oct230374453100
957741758400
1020467308096
118753297564
123b72563000
131c124546c1
14dc23ab744
157ebcc78b6
hex4c3f25640

20467308096 has 105 divisors (see below), whose sum is σ = 60702062619. Its totient is φ = 6819002496.

The previous prime is 20467308089. The next prime is 20467308139. The reversal of 20467308096 is 69080376402.

The square root of 20467308096 is 143064.

It is a perfect power (a square), and thus also a powerful number.

20467308096 is a `hidden beast` number, since 20 + 467 + 3 + 0 + 80 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10299615 + ... + 10301601.

Almost surely, 220467308096 is an apocalyptic number.

20467308096 is the 143064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20467308096

20467308096 is an abundant number, since it is smaller than the sum of its proper divisors (40234754523).

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

20467308096 is an frugal number, since it uses more digits than its factorization.

20467308096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20467308096 in words is "twenty billion, four hundred sixty-seven million, three hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 1987 2592 3974 5184 5961 7948 11922 15896 17883 23844 31792 35766 47688 53649 63584 71532 95376 107298 127168 143064 160947 190752 214596 286128 321894 381504 429192 572256 643788 858384 1144512 1287576 1716768 2575152 3433536 3948169 5150304 7896338 10300608 11844507 15792676 23689014 31585352 35533521 47378028 63170704 71067042 94756056 106600563 126341408 142134084 189512112 213201126 252682816 284268168 319801689 379024224 426402252 568536336 639603378 758048448 852804504 1137072672 1279206756 1705609008 2274145344 2558413512 3411218016 5116827024 6822436032 10233654048 20467308096