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380840818752 = 2632661181977
BaseRepresentation
bin1011000101010111110…
…00011011100001000000
31100102000110012010020100
411202223320123201000
522214430222200002
6450542244242400
736341406355512
oct5425370334100
91312013163210
10380840818752
11137571793a09
12619869a0400
1329bb42089c4
141460b82dbb2
159d8e8b911c
hex58abe1b840

380840818752 has 42 divisors (see below), whose sum is σ = 1091611445678. Its totient is φ = 126946939392.

The previous prime is 380840818697. The next prime is 380840818769. The reversal of 380840818752 is 257818048083.

380840818752 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 408 + 187 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 331886601216 + 48954217536 = 576096^2 + 221256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 330590413 + ... + 330591564.

Almost surely, 2380840818752 is an apocalyptic number.

380840818752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

380840818752 is an abundant number, since it is smaller than the sum of its proper divisors (710770626926).

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

380840818752 is a wasteful number, since it uses less digits than its factorization.

380840818752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661181995 (or 661181982 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 380840818752 in words is "three hundred eighty billion, eight hundred forty million, eight hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 661181977 1322363954 1983545931 2644727908 3967091862 5289455816 5950637793 7934183724 10578911632 11901275586 15868367448 21157823264 23802551172 31736734896 42315646528 47605102344 63473469792 95210204688 126946939584 190420409376 380840818752