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2056596480 = 2103651929
BaseRepresentation
bin111101010010101…
…0010110000000000
312022022211221000000
41322211102300000
513202442041410
6540024000000
7101651532051
oct17245226000
95268757000
102056596480
11965993414
12494900000
1326a1020c3
141571cc728
15c0841dc0
hex7a952c00

2056596480 has 616 divisors, whose sum is σ = 8054535600. Its totient is φ = 501645312.

The previous prime is 2056596469. The next prime is 2056596491. The reversal of 2056596480 is 846956502.

2056596480 is a `hidden beast` number, since 2 + 0 + 56 + 596 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2056596469) and next prime (2056596491).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 70917106 + ... + 70917134.

Almost surely, 22056596480 is an apocalyptic number.

2056596480 is a gapful number since it is divisible by the number (20) 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 2056596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027267800).

2056596480 is an abundant number, since it is smaller than the sum of its proper divisors (5997939120).

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

2056596480 is an equidigital number, since it uses as much as digits as its factorization.

2056596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2056596480 is about 45349.7131192690. The cubic root of 2056596480 is about 1271.6951921840.

The spelling of 2056596480 in words is "two billion, fifty-six million, five hundred ninety-six thousand, four hundred eighty".