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2059394976 = 253323313343
BaseRepresentation
bin111101010111111…
…1101111110100000
312022112010002211000
41322233331332200
513204201114401
6540203552000
7102014365662
oct17257757640
95275102730
102059394976
11967524a21
1249582b600
1326a871b12
1415771a532
15c0be6186
hex7abfdfa0

2059394976 has 192 divisors, whose sum is σ = 6471843840. Its totient is φ = 635247360.

The previous prime is 2059394959. The next prime is 2059394983. The reversal of 2059394976 is 6794939502.

2059394976 is a `hidden beast` number, since 2 + 0 + 593 + 9 + 49 + 7 + 6 = 666.

It is a super-2 number, since 2×20593949762 = 8482215334348081152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614361 + ... + 617703.

It is an arithmetic number, because the mean of its divisors is an integer number (33707520).

Almost surely, 22059394976 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 2059394976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235921920).

2059394976 is an abundant number, since it is smaller than the sum of its proper divisors (4412448864).

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

2059394976 is a wasteful number, since it uses less digits than its factorization.

2059394976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 2059394976 is about 45380.5572464684. The cubic root of 2059394976 is about 1272.2717468533.

The spelling of 2059394976 in words is "two billion, fifty-nine million, three hundred ninety-four thousand, nine hundred seventy-six".