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813223290920 = 2351193153111131
BaseRepresentation
bin10111101010101111110…
…00101010100000101000
32212202001221002112000012
423311113320222200220
5101310440130302140
61421331205231052
7112516300630415
oct13652770524050
92782057075005
10813223290920
1129398238a9a7
12111736a02488
135b8c069b981
142b50861710c
151624914e265
hexbd57e2a828

813223290920 has 64 divisors (see below), whose sum is σ = 1832646911040. Its totient is φ = 324775180800.

The previous prime is 813223290877. The next prime is 813223290949. The reversal of 813223290920 is 29092322318.

813223290920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8132232909202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73053755 + ... + 73064885.

It is an arithmetic number, because the mean of its divisors is an integer number (28635107985).

Almost surely, 2813223290920 is an apocalyptic number.

It is an amenable number.

813223290920 is an abundant number, since it is smaller than the sum of its proper divisors (1019423620120).

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

813223290920 is a wasteful number, since it uses less digits than its factorization.

813223290920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13866 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 813223290920 in words is "eight hundred thirteen billion, two hundred twenty-three million, two hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1193 1531 2386 3062 4772 5965 6124 7655 9544 11131 11930 12248 15310 22262 23860 30620 44524 47720 55655 61240 89048 111310 222620 445240 1826483 3652966 7305932 9132415 13279283 14611864 17041561 18264830 26558566 34083122 36529660 53117132 66396415 68166244 73059320 85207805 106234264 132792830 136332488 170415610 265585660 340831220 531171320 681662440 20330582273 40661164546 81322329092 101652911365 162644658184 203305822730 406611645460 813223290920