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10039639204 = 22721724212
BaseRepresentation
bin10010101100110100…
…01011110010100100
3221220200100111220001
421112122023302210
5131030121423304
64340120151044
7503535345100
oct112632136244
927820314801
1010039639204
114292129591
121b42308484
13c3cc88a1a
146b3520900
153db5dcda4
hex25668bca4

10039639204 has 81 divisors (see below), whose sum is σ = 21762473859. Its totient is φ = 4039983360.

The previous prime is 10039639201. The next prime is 10039639213. The reversal of 10039639204 is 40293693001.

The square root of 10039639204 is 100198.

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 1676902500 + 8362736704 = 40950^2 + 91448^2 .

It is not an unprimeable number, because it can be changed into a prime (10039639201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23846914 + ... + 23847334.

Almost surely, 210039639204 is an apocalyptic number.

10039639204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10039639204 is the 100198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10039639204

10039639204 is an abundant number, since it is smaller than the sum of its proper divisors (11722834655).

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

10039639204 is an equidigital number, since it uses as much as digits as its factorization.

10039639204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 10039639204 in words is "ten billion, thirty-nine million, six hundred thirty-nine thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 421 476 578 833 842 1156 1666 1684 2023 2947 3332 4046 5894 7157 8092 11788 14161 14314 20629 28322 28628 41258 50099 56644 82516 100198 121669 177241 200396 243338 350693 354482 486676 701386 708964 851683 1240687 1402772 1703366 2481374 3013097 3406732 4962748 5961781 6026194 8684809 11923562 12052388 17369618 21091679 23847124 34739236 42183358 51222649 84366716 102445298 147641753 204890596 295283506 358558543 590567012 717117086 1434234172 2509909801 5019819602 10039639204