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2057319768 = 233712245951
BaseRepresentation
bin111101010100000…
…0011010101011000
312022101012200011110
41322220003111120
513203133213033
6540051300320
7101660633550
oct17250032530
95271180143
102057319768
11966337879
12494baa6a0
1326a2c639a
1415733a160
15c0936363
hex7aa03558

2057319768 has 32 divisors (see below), whose sum is σ = 5878056960. Its totient is φ = 587805600.

The previous prime is 2057319739. The next prime is 2057319809. The reversal of 2057319768 is 8679137502.

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, 6122808 + ... + 6123143.

It is an arithmetic number, because the mean of its divisors is an integer number (183689280).

Almost surely, 22057319768 is an apocalyptic number.

2057319768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2057319768 is an abundant number, since it is smaller than the sum of its proper divisors (3820737192).

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

2057319768 is a wasteful number, since it uses less digits than its factorization.

2057319768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12245967 (or 12245963 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 2057319768 is about 45357.6869780636. The cubic root of 2057319768 is about 1271.8442562766.

The spelling of 2057319768 in words is "two billion, fifty-seven million, three hundred nineteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 12245951 24491902 36737853 48983804 73475706 85721657 97967608 146951412 171443314 257164971 293902824 342886628 514329942 685773256 1028659884 2057319768