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10204717328 = 241361804281
BaseRepresentation
bin10011000000011111…
…11010000100010000
3222100011222100111122
421200033322010100
5131344401423303
64404334301412
7510611444321
oct114017720420
928304870448
1010204717328
11436732a193
121b89657868
13c682369a0
146cb412448
153ead49e38
hex2603fa110

10204717328 has 40 divisors (see below), whose sum is σ = 21641620056. Its totient is φ = 4632652800.

The previous prime is 10204717321. The next prime is 10204717333. The reversal of 10204717328 is 82371740201.

It can be written as a sum of positive squares in 4 ways, for example, as 790284544 + 9414432784 = 28112^2 + 97028^2 .

It is not an unprimeable number, because it can be changed into a prime (10204717321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389453 + ... + 414828.

Almost surely, 210204717328 is an apocalyptic number.

It is an amenable number.

10204717328 is an abundant number, since it is smaller than the sum of its proper divisors (11436902728).

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

10204717328 is a wasteful number, since it uses less digits than its factorization.

10204717328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804363 (or 804357 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 10204717328 in words is "ten billion, two hundred four million, seven hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 6344 12688 804281 1608562 3217124 6434248 10455653 12868496 20911306 41822612 49061141 83645224 98122282 167290448 196244564 392489128 637794833 784978256 1275589666 2551179332 5102358664 10204717328