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5074445376 = 2632711132677
BaseRepresentation
bin1001011100111010…
…11110010001000000
3111002122110112102100
410232131132101000
540343024223001
62155310550400
7236515034250
oct45635362100
914078415370
105074445376
112174434a10
12b97508400
1362b3c5900
14361d1d960
151ea75e586
hex12e75e440

5074445376 has 504 divisors, whose sum is σ = 19665232704. Its totient is φ = 1214853120.

The previous prime is 5074445353. The next prime is 5074445393. The reversal of 5074445376 is 6735444705.

5074445376 is a `hidden beast` number, since 5 + 0 + 74 + 44 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7495150 + ... + 7495826.

Almost surely, 25074445376 is an apocalyptic number.

5074445376 is a gapful number since it is divisible by the number (56) 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 5074445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832616352).

5074445376 is an abundant number, since it is smaller than the sum of its proper divisors (14590787328).

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

5074445376 is a wasteful number, since it uses less digits than its factorization.

5074445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The square root of 5074445376 is about 71235.1414401628. The cubic root of 5074445376 is about 1718.4208256686.

The spelling of 5074445376 in words is "five billion, seventy-four million, four hundred forty-five thousand, three hundred seventy-six".