Search a number
-
+
10233223264872 = 2332422933607969
BaseRepresentation
bin1001010011101001101110…
…1000110011101001101000
31100020021201220221122212100
42110322123220303221220
52320130120123433442
633433024453013400
72104216545364656
oct224723350635150
940207656848770
1010233223264872
113295981831913
121193325924260
13592cb15657ba
1427540d77bdd6
1512b2c9e8784c
hex94e9ba33a68

10233223264872 has 48 divisors (see below), whose sum is σ = 27721534054500. Its totient is φ = 3410267728896.

The previous prime is 10233223264871. The next prime is 10233223264933. The reversal of 10233223264872 is 27846232233201.

10233223264872 is a `hidden beast` number, since 1 + 0 + 2 + 332 + 232 + 6 + 4 + 87 + 2 = 666.

10233223264872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8581653866916 + 1651569397956 = 2929446^2 + 1285134^2 .

It is not an unprimeable number, because it can be changed into a prime (10233223264871) 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, 16499497 + ... + 17108472.

Almost surely, 210233223264872 is an apocalyptic number.

10233223264872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10233223264872 is an abundant number, since it is smaller than the sum of its proper divisors (17488310789628).

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

10233223264872 is a wasteful number, since it uses less digits than its factorization.

10233223264872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33612210 (or 33612203 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 10233223264872 in words is "ten trillion, two hundred thirty-three billion, two hundred twenty-three million, two hundred sixty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4229 8458 12687 16916 25374 33832 38061 50748 76122 101496 152244 304488 33607969 67215938 100823907 134431876 201647814 268863752 302471721 403295628 604943442 806591256 1209886884 2419773768 142128100901 284256201802 426384302703 568512403604 852768605406 1137024807208 1279152908109 1705537210812 2558305816218 3411074421624 5116611632436 10233223264872