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30763756816 = 2413233732
BaseRepresentation
bin11100101001101010…
…011010110100010000
32221101222102202202121
4130221222122310100
51001001010204231
622044354024024
72136232422052
oct345152326420
987358382677
1030763756816
111205737a911
125b66878014
132b93698400
1416bba5b8d2
15c00be2311
hex729a9ad10

30763756816 has 45 divisors (see below), whose sum is σ = 64561593519. Its totient is φ = 14194447488.

The previous prime is 30763756811. The next prime is 30763756823. The reversal of 30763756816 is 61865736703.

The square root of 30763756816 is 175396.

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 2539756816 + 28224000000 = 50396^2 + 168000^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30763756811) 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, 9118906 + ... + 9122278.

Almost surely, 230763756816 is an apocalyptic number.

30763756816 is the 175396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30763756816

30763756816 is an abundant number, since it is smaller than the sum of its proper divisors (33797836703).

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

30763756816 is an frugal number, since it uses more digits than its factorization.

30763756816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6780 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 30763756816 in words is "thirty billion, seven hundred sixty-three million, seven hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 3373 6746 13492 26984 43849 53968 87698 175396 350792 570037 701584 1140074 2280148 4560296 9120592 11377129 22754258 45508516 91017032 147902677 182034064 295805354 591610708 1183221416 1922734801 2366442832 3845469602 7690939204 15381878408 30763756816