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10063299856 = 243128092
BaseRepresentation
bin10010101111101000…
…11100010100010000
3221222022212121012111
421113310130110100
5131102201043411
64342323235104
7504243431431
oct112764342420
927868777174
1010063299856
1142a451a145
121b4a218a94
13c44b513cc
146b671d488
153dd713721
hex257d1c510

10063299856 has 45 divisors (see below), whose sum is σ = 20171822853. Its totient is φ = 4863319680.

The previous prime is 10063299853. The next prime is 10063299877. The reversal of 10063299856 is 65899236001.

The square root of 10063299856 is 100316.

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

It can be written as a sum of positive squares in only one way, i.e., 8857821456 + 1205478400 = 94116^2 + 34720^2 .

It is not an unprimeable number, because it can be changed into a prime (10063299853) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12438780 + ... + 12439588.

Almost surely, 210063299856 is an apocalyptic number.

10063299856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10063299856 is the 100316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10063299856

10063299856 is an abundant number, since it is smaller than the sum of its proper divisors (10108522997).

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

10063299856 is an frugal number, since it uses more digits than its factorization.

10063299856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

Multiplying 10063299856 by its sum of digits (49), we get a square (493101692944 = 7022122).

The spelling of 10063299856 in words is "ten billion, sixty-three million, two hundred ninety-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 809 961 1618 1922 3236 3844 6472 7688 12944 15376 25079 50158 100316 200632 401264 654481 777449 1308962 1554898 2617924 3109796 5235848 6219592 10471696 12439184 20288911 40577822 81155644 162311288 324622576 628956241 1257912482 2515824964 5031649928 10063299856