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813495763600 = 245213234692
BaseRepresentation
bin10111101011010000010…
…00000100001010010000
32212202202220210120020221
423311220020010022100
5101312014403413400
61421414221242424
7112526116620412
oct13655010041220
92782686716227
10813495763600
11294002172733
121117b2103414
135b934c7c100
142b5328a29b2
1516263021c1a
hexbd68204290

813495763600 has 135 divisors (see below), whose sum is σ = 2116938727953. Its totient is φ = 300281080320.

The previous prime is 813495763589. The next prime is 813495763627. The reversal of 813495763600 is 6367594318.

It is a happy number.

The square root of 813495763600 is 901940.

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

It can be written as a sum of positive squares in 13 ways, for example, as 710264643984 + 103231119616 = 842772^2 + 321296^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 234502666 + ... + 234506134.

Almost surely, 2813495763600 is an apocalyptic number.

813495763600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

813495763600 is the 901940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813495763600

813495763600 is an abundant number, since it is smaller than the sum of its proper divisors (1303442964353).

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

813495763600 is an equidigital number, since it uses as much as digits as its factorization.

813495763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 813495763600 in words is "eight hundred thirteen billion, four hundred ninety-five million, seven hundred sixty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 169 200 208 260 325 338 400 520 650 676 845 1040 1300 1352 1690 2600 2704 3380 3469 4225 5200 6760 6938 8450 13520 13876 16900 17345 27752 33800 34690 45097 55504 67600 69380 86725 90194 138760 173450 180388 225485 277520 346900 360776 450970 586261 693800 721552 901940 1127425 1172522 1387600 1803880 2254850 2345044 2931305 3607760 4509700 4690088 5862610 9019400 9380176 11725220 12033961 14656525 18038800 23450440 24067922 29313050 46900880 48135844 58626100 60169805 96271688 117252200 120339610 156441493 192543376 234504400 240679220 300849025 312882986 481358440 601698050 625765972 782207465 962716880 1203396100 1251531944 1564414930 2033739409 2406792200 2503063888 3128829860 3911037325 4067478818 4813584400 6257659720 7822074650 8134957636 10168697045 12515319440 15644149300 16269915272 20337394090 31288298600 32539830544 40674788180 50843485225 62576597200 81349576360 101686970450 162699152720 203373940900 406747881800 813495763600