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1379075544 = 23367113783
BaseRepresentation
bin101001000110011…
…0000010111011000
310120002222022000000
41102030300113120
510311020404134
6344502213000
746113643260
oct12214602730
93502868000
101379075544
116484a7960
12325a24160
1318c933642
14d12267a0
158110ee99
hex523305d8

1379075544 has 448 divisors, whose sum is σ = 5023952640. Its totient is φ = 344321280.

The previous prime is 1379075527. The next prime is 1379075563. The reversal of 1379075544 is 4455709731.

1379075544 is a `hidden beast` number, since 1 + 3 + 7 + 90 + 7 + 554 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1379075544.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 16615327 + ... + 16615409.

It is an arithmetic number, because the mean of its divisors is an integer number (11214180).

Almost surely, 21379075544 is an apocalyptic number.

1379075544 is a gapful number since it is divisible by the number (14) 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 1379075544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511976320).

1379075544 is an abundant number, since it is smaller than the sum of its proper divisors (3644877096).

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

1379075544 is a wasteful number, since it uses less digits than its factorization.

1379075544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 1379075544 is about 37135.9063979863. The cubic root of 1379075544 is about 1113.0876196087.

The spelling of 1379075544 in words is "one billion, three hundred seventy-nine million, seventy-five thousand, five hundred forty-four".