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94406864049 = 32232612732
BaseRepresentation
bin101011111101100010…
…1100110110010110001
3100000200101011121010100
41113323011212302301
53021321124122144
6111211522423013
76551330050461
oct1277305466261
9300611147110
1094406864049
11370462392a3
1216368801a69
138b96b19644
1447d82c1ba1
1526c81be269
hex15fb166cb1

94406864049 has 81 divisors (see below), whose sum is σ = 146939917761. Its totient is φ = 58403410560.

The previous prime is 94406864047. The next prime is 94406864053. The reversal of 94406864049 is 94046860449.

It is a happy number.

The square root of 94406864049 is 307257.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24641150625 + 69765713424 = 156975^2 + 264132^2 .

It is not a de Polignac number, because 94406864049 - 21 = 94406864047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 94406863986 and 94406864004.

It is not an unprimeable number, because it can be changed into a prime (94406864047) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1293244677 + ... + 1293244749.

Almost surely, 294406864049 is an apocalyptic number.

94406864049 is the 307257-th square number.

94406864049 is the 153629-th centered octagonal number.

It is an amenable number.

94406864049 is a deficient number, since it is larger than the sum of its proper divisors (52533053712).

94406864049 is an equidigital number, since it uses as much as digits as its factorization.

94406864049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 94406864049 in words is "ninety-four billion, four hundred six million, eight hundred sixty-four thousand, forty-nine".

Divisors: 1 3 9 23 61 69 73 183 207 219 529 549 657 1403 1587 1679 3721 4209 4453 4761 5037 5329 11163 12627 13359 15111 15987 32269 33489 38617 40077 47961 85583 96807 102419 115851 122567 256749 271633 290421 307257 325069 347553 367701 770247 814899 921771 975207 1103103 1968409 2355637 2444697 2819041 2925621 5905227 6247559 7066911 7476587 8457123 17715681 18742677 19829209 21200733 22429761 25371369 56228031 59487627 67289283 143693857 171961501 178462881 431081571 456071807 515884503 1293244713 1368215421 1547653509 4104646263 10489651561 31468954683 94406864049