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3835568768 = 27291033289
BaseRepresentation
bin1110010010011110…
…0010001010000000
3100220022022002012112
43210213202022000
530323401200033
61432333314452
7164022540143
oct34447421200
910808262175
103835568768
111699095649
128b0635a28
1349183c025
1428559005a
15176ae4c48
hexe49e2280

3835568768 has 32 divisors (see below), whose sum is σ = 7904668500. Its totient is φ = 1851652096.

The previous prime is 3835568767. The next prime is 3835568771. The reversal of 3835568768 is 8678655383.

It can be written as a sum of positive squares in 2 ways, for example, as 3685946944 + 149621824 = 60712^2 + 12232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3835568767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 512933 + ... + 520356.

Almost surely, 23835568768 is an apocalyptic number.

It is an amenable number.

3835568768 is an abundant number, since it is smaller than the sum of its proper divisors (4069099732).

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

3835568768 is a wasteful number, since it uses less digits than its factorization.

3835568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033332 (or 1033320 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 59.

The square root of 3835568768 is about 61931.9688690744. The cubic root of 3835568768 is about 1565.3444743866.

The spelling of 3835568768 in words is "three billion, eight hundred thirty-five million, five hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 1033289 2066578 4133156 8266312 16532624 29965381 33065248 59930762 66130496 119861524 132260992 239723048 479446096 958892192 1917784384 3835568768