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376638095360 = 2145172291181
BaseRepresentation
bin1010111101100010110…
…00010100000000000000
31100000011120000122120102
411132301120110000000
522132323323022420
6445005233301532
736132304662602
oct5366130240000
91300146018512
10376638095360
1113580542769a
1260bb34048a8
13296945b8527
141432d5c9172
159be594ca75
hex57b1614000

376638095360 has 240 divisors, whose sum is σ = 962067954960. Its totient is φ = 141054443520.

The previous prime is 376638095269. The next prime is 376638095363. The reversal of 376638095360 is 63590836673.

It can be written as a sum of positive squares in 8 ways, for example, as 114363006976 + 262275088384 = 338176^2 + 512128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 376638095296 and 376638095305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376638095363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318913970 + ... + 318915150.

It is an arithmetic number, because the mean of its divisors is an integer number (4008616479).

Almost surely, 2376638095360 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 376638095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481033977480).

376638095360 is an abundant number, since it is smaller than the sum of its proper divisors (585429859600).

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

376638095360 is a wasteful number, since it uses less digits than its factorization.

376638095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 56.

The spelling of 376638095360 in words is "three hundred seventy-six billion, six hundred thirty-eight million, ninety-five thousand, three hundred sixty".