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2145336256 = 26710943933
BaseRepresentation
bin111111111011111…
…0011101111000000
312112111211101002101
41333313303233000
513343201230011
6552514000144
7104110025440
oct17767635700
95474741071
102145336256
11a00a93978
124ba576054
1328260254b
14164ccc120
15c85202c1
hex7fdf3bc0

2145336256 has 56 divisors (see below), whose sum is σ = 4910063840. Its totient is φ = 910973952.

The previous prime is 2145336241. The next prime is 2145336283. The reversal of 2145336256 is 6526335412.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26866 + ... + 70798.

Almost surely, 22145336256 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 2145336256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455031920).

2145336256 is an abundant number, since it is smaller than the sum of its proper divisors (2764727584).

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

2145336256 is a wasteful number, since it uses less digits than its factorization.

2145336256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44061 (or 44051 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The square root of 2145336256 is about 46317.7747306582. The cubic root of 2145336256 is about 1289.7289769755.

The spelling of 2145336256 in words is "two billion, one hundred forty-five million, three hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 24416 43933 48832 87866 175732 307531 351464 615062 702928 1230124 1405856 2460248 2811712 4788697 4920496 9577394 9840992 19154788 19681984 33520879 38309576 67041758 76619152 134083516 153238304 268167032 306476608 536334064 1072668128 2145336256