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823328552960 = 211583968713
BaseRepresentation
bin10111111101100100011…
…01001011100000000000
32220201011011221000111122
423332302031023200000
5101442134102143320
61430122032131412
7113324564141654
oct13766215134000
92821134830448
10823328552960
1129819855a931
12113697096b68
135c841122a74
142bbc673aa64
151663b3a0d25
hexbfb234b800

823328552960 has 96 divisors (see below), whose sum is σ = 1999309450320. Its totient is φ = 325363236864.

The previous prime is 823328552929. The next prime is 823328552987. The reversal of 823328552960 is 69255823328.

It is a super-2 number, since 2×8233285529602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365564 + ... + 1334276.

Almost surely, 2823328552960 is an apocalyptic number.

823328552960 is a gapful number since it is divisible by the number (80) 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 823328552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999654725160).

823328552960 is an abundant number, since it is smaller than the sum of its proper divisors (1175980897360).

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

823328552960 is an equidigital number, since it uses as much as digits as its factorization.

823328552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968823 (or 968803 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 823328552960 in words is "eight hundred twenty-three billion, three hundred twenty-eight million, five hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1024 1280 1328 1660 2048 2560 2656 3320 5120 5312 6640 10240 10624 13280 21248 26560 42496 53120 84992 106240 169984 212480 424960 849920 968713 1937426 3874852 4843565 7749704 9687130 15499408 19374260 30998816 38748520 61997632 77497040 80403179 123995264 154994080 160806358 247990528 309988160 321612716 402015895 495981056 619976320 643225432 804031790 991962112 1239952640 1286450864 1608063580 1983924224 2479905280 2572901728 3216127160 4959810560 5145803456 6432254320 9919621120 10291606912 12864508640 20583213824 25729017280 41166427648 51458034560 82332855296 102916069120 164665710592 205832138240 411664276480 823328552960