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2057911296 = 21037831153
BaseRepresentation
bin111101010101001…
…0011110000000000
312022102022201120220
41322222103300000
513203311130141
6540112103040
7101665646250
oct17252236000
95272281526
102057911296
11966701241
12495234a80
1326a4726bc
14157451960
15c0a01766
hex7aa93c00

2057911296 has 176 divisors, whose sum is σ = 6349695744. Its totient is φ = 580386816.

The previous prime is 2057911277. The next prime is 2057911301. The reversal of 2057911296 is 6921197502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1784256 + ... + 1785408.

Almost surely, 22057911296 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 2057911296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174847872).

2057911296 is an abundant number, since it is smaller than the sum of its proper divisors (4291784448).

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

2057911296 is a wasteful number, since it uses less digits than its factorization.

2057911296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 2057911296 is about 45364.2072122946. The cubic root of 2057911296 is about 1271.9661396785.

The spelling of 2057911296 in words is "two billion, fifty-seven million, nine hundred eleven thousand, two hundred ninety-six".