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376212328704 = 28334779107137
BaseRepresentation
bin1010111100110000000…
…00001001000100000000
31022222001212212110112000
411132120000021010000
522130440324004304
6444455103504000
736115615013442
oct5363000110400
91288055773460
10376212328704
11135607062923
1260ab48b8000
1329627324ab4
14142ccc38492
159bbd399939
hex5798009100

376212328704 has 576 divisors, whose sum is σ = 1169808998400. Its totient is φ = 119173496832.

The previous prime is 376212328633. The next prime is 376212328721. The reversal of 376212328704 is 407823212673.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 376212328704.

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 63 ways as a sum of consecutive naturals, for example, 2746075324 + ... + 2746075460.

It is an arithmetic number, because the mean of its divisors is an integer number (2030918400).

Almost surely, 2376212328704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376212328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584904499200).

376212328704 is an abundant number, since it is smaller than the sum of its proper divisors (793596669696).

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

376212328704 is a wasteful number, since it uses less digits than its factorization.

376212328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 376212328704 in words is "three hundred seventy-six billion, two hundred twelve million, three hundred twenty-eight thousand, seven hundred four".