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2056618368 = 273271931433
BaseRepresentation
bin111101010010101…
…1000000110000000
312022022220001000200
41322211120012000
513202443241433
6540024245200
7101651652630
oct17245300600
95268801020
102056618368
119659a8902
12494910800
1326a10c05c
141571d66c0
15c0848613
hex7a958180

2056618368 has 384 divisors, whose sum is σ = 7366195200. Its totient is φ = 537477120.

The previous prime is 2056618351. The next prime is 2056618379. The reversal of 2056618368 is 8638166502.

2056618368 is a `hidden beast` number, since 2 + 0 + 566 + 1 + 83 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20566183682 = 8459358223189966848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4749480 + ... + 4749912.

It is an arithmetic number, because the mean of its divisors is an integer number (19182800).

Almost surely, 22056618368 is an apocalyptic number.

2056618368 is a gapful number since it is divisible by the number (28) 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 2056618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683097600).

2056618368 is an abundant number, since it is smaller than the sum of its proper divisors (5309576832).

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

2056618368 is a wasteful number, since it uses less digits than its factorization.

2056618368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2056618368 is about 45349.9544431965. The cubic root of 2056618368 is about 1271.6997036452.

The spelling of 2056618368 in words is "two billion, fifty-six million, six hundred eighteen thousand, three hundred sixty-eight".