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2056071888 = 2432131378017
BaseRepresentation
bin111101010001101…
…0010101011010000
312022021212021101200
41322203102223100
513202323300023
6540004431200
7101644215453
oct17243225320
95267767350
102056071888
11965665272
124946a8500
13269c7a3b0
141570d349a
15c078b743
hex7a8d2ad0

2056071888 has 120 divisors (see below), whose sum is σ = 6242782728. Its totient is φ = 627941376.

The previous prime is 2056071887. The next prime is 2056071893. The reversal of 2056071888 is 8881706502.

2056071888 is a `hidden beast` number, since 2 + 0 + 560 + 7 + 1 + 8 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157552704 + 1898519184 = 12552^2 + 43572^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056071887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252456 + ... + 260472.

Almost surely, 22056071888 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 2056071888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121391364).

2056071888 is an abundant number, since it is smaller than the sum of its proper divisors (4186710840).

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

2056071888 is a wasteful number, since it uses less digits than its factorization.

2056071888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8181 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 2056071888 is about 45343.9288990268. The cubic root of 2056071888 is about 1271.5870559403.

The spelling of 2056071888 in words is "two billion, fifty-six million, seventy-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 137 144 156 208 234 274 312 411 468 548 624 822 936 1096 1233 1644 1781 1872 2192 2466 3288 3562 4932 5343 6576 7124 8017 9864 10686 14248 16029 16034 19728 21372 24051 28496 32058 32068 42744 48102 64116 64136 72153 85488 96204 104221 128232 128272 144306 192408 208442 256464 288612 312663 384816 416884 577224 625326 833768 937989 1098329 1154448 1250652 1667536 1875978 2196658 2501304 3294987 3751956 4393316 5002608 6589974 7503912 8786632 9884961 13179948 14278277 15007824 17573264 19769922 26359896 28556554 39539844 42834831 52719792 57113108 79079688 85669662 114226216 128504493 158159376 171339324 228452432 257008986 342678648 514017972 685357296 1028035944 2056071888