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10033864992 = 2532120129009
BaseRepresentation
bin10010101100001000…
…01010000100100000
3221220021111011011100
421112010022010200
5131022132134432
64335352314400
7503435305464
oct112604120440
927807434140
1010033864992
114289945308
121b403a2a00
13c3ba16728
146b285a4a4
153dad4c07c
hex25610a120

10033864992 has 72 divisors (see below), whose sum is σ = 28558546380. Its totient is φ = 3341721600.

The previous prime is 10033864991. The next prime is 10033864999. The reversal of 10033864992 is 29946833001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6969578256 + 3064286736 = 83484^2 + 55356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10033864991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331384 + ... + 360392.

Almost surely, 210033864992 is an apocalyptic number.

10033864992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10033864992 is an abundant number, since it is smaller than the sum of its proper divisors (18524681388).

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

10033864992 is a wasteful number, since it uses less digits than its factorization.

10033864992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30226 (or 30215 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10033864992 in words is "ten billion, thirty-three million, eight hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1201 2402 3603 4804 7206 9608 10809 14412 19216 21618 28824 29009 38432 43236 57648 58018 86472 87027 115296 116036 172944 174054 232072 261081 345888 348108 464144 522162 696216 928288 1044324 1392432 2088648 2784864 4177296 8354592 34839809 69679618 104519427 139359236 209038854 278718472 313558281 418077708 557436944 627116562 836155416 1114873888 1254233124 1672310832 2508466248 3344621664 5016932496 10033864992