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379495045181952 = 293572397156799
BaseRepresentation
bin101011001001001100001001…
…1010111001011001000000000
31211202200101001012020001200000
41112102120103113023020000
5344220121323031310302
63423041341134400000
7142635416664513300
oct12622302327131000
91752611035201600
10379495045181952
11aaa11a43654017
1236690822960000
131339a2c9749a6b
14699d930107600
152dd180c68531c
hex15926135cb200

379495045181952 has 720 divisors, whose sum is σ = 1324588570905600. Its totient is φ = 108153349742592.

The previous prime is 379495045181927. The next prime is 379495045182007. The reversal of 379495045181952 is 259181540594973.

It is a happy number.

379495045181952 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 9 + 5 + 0 + 451 + 81 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2420186049 + ... + 2420342847.

It is an arithmetic number, because the mean of its divisors is an integer number (1839706348480).

Almost surely, 2379495045181952 is an apocalyptic number.

379495045181952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379495045181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662294285452800).

379495045181952 is an abundant number, since it is smaller than the sum of its proper divisors (945093525723648).

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

379495045181952 is an equidigital number, since it uses as much as digits as its factorization.

379495045181952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157243 (or 157208 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 379495045181952 in words is "three hundred seventy-nine trillion, four hundred ninety-five billion, forty-five million, one hundred eighty-one thousand, nine hundred fifty-two".