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382534230080 = 2652941221361
BaseRepresentation
bin1011001000100001101…
…00010010000001000000
31100120101110122022212102
411210100310102001000
522231412230330310
6451422300045532
736431361210002
oct5442064220100
91316343568772
10382534230080
11138260666a02
1262179b338a8
132a0c3cb9342
141472c6bc372
159e3d3ba8a5
hex5910d12040

382534230080 has 56 divisors (see below), whose sum is σ = 942320335320. Its totient is φ = 147737354240.

The previous prime is 382534230077. The next prime is 382534230181. The reversal of 382534230080 is 80032435283.

It can be written as a sum of positive squares in 4 ways, for example, as 127129328704 + 255404901376 = 356552^2 + 505376^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20601401 + ... + 20619960.

It is an arithmetic number, because the mean of its divisors is an integer number (16827148845).

Almost surely, 2382534230080 is an apocalyptic number.

It is an amenable number.

382534230080 is an abundant number, since it is smaller than the sum of its proper divisors (559786105240).

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

382534230080 is a wasteful number, since it uses less digits than its factorization.

382534230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41221407 (or 41221397 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 382534230080 in words is "three hundred eighty-two billion, five hundred thirty-four million, two hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 41221361 82442722 164885444 206106805 329770888 412213610 659541776 824427220 1195419469 1319083552 1648854440 2390838938 2638167104 3297708880 4781677876 5977097345 6595417760 9563355752 11954194690 13190835520 19126711504 23908389380 38253423008 47816778760 76506846016 95633557520 191267115040 382534230080