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329113331856 = 2432478072
BaseRepresentation
bin1001100101000001010…
…11101110100010010000
31011110111110210112002100
410302200223232202100
520343011003104411
6411105332520400
732530510110021
oct4624053564220
91143443715070
10329113331856
11117637994441
125394b480100
132505c5b75aa
1411d01900c48
158863541456
hex4ca0aee890

329113331856 has 45 divisors (see below), whose sum is σ = 921079493971. Its totient is φ = 109702149216.

The previous prime is 329113331851. The next prime is 329113331861. The reversal of 329113331856 is 658133311923.

The square root of 329113331856 is 573684.

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

329113331856 is a `hidden beast` number, since 329 + 1 + 1 + 3 + 3 + 318 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (329113331851) and next prime (329113331861).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329113331851) 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, 6860305 + ... + 6908111.

Almost surely, 2329113331856 is an apocalyptic number.

329113331856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

329113331856 is the 573684-th square number.

It is an amenable number.

329113331856 is an abundant number, since it is smaller than the sum of its proper divisors (591966162115).

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

329113331856 is an frugal number, since it uses more digits than its factorization.

329113331856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95628 (or 47812 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

It can be divided in two parts, 329113 and 331856, that added together give a square (660969 = 8132).

The spelling of 329113331856 in words is "three hundred twenty-nine billion, one hundred thirteen million, three hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 47807 95614 143421 191228 286842 382456 430263 573684 764912 860526 1147368 1721052 2294736 3442104 6884208 2285509249 4571018498 6856527747 9142036996 13713055494 18284073992 20569583241 27426110988 36568147984 41139166482 54852221976 82278332964 109704443952 164556665928 329113331856