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3877864128 = 263219354337
BaseRepresentation
bin1110011100100011…
…1000001011000000
3101000020212220112100
43213020320023000
530420213123003
61440444030400
7165045205215
oct34710701300
911006786470
103877864128
11170aa53796
12902832400
1349a52a578
1428b03db0c
1517a69bba3
hexe72382c0

3877864128 has 84 divisors (see below), whose sum is σ = 11700240760. Its totient is φ = 1224585216.

The previous prime is 3877864087. The next prime is 3877864181. The reversal of 3877864128 is 8214687783.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 166225 + ... + 188112.

Almost surely, 23877864128 is an apocalyptic number.

3877864128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3877864128 is an abundant number, since it is smaller than the sum of its proper divisors (7822376632).

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

3877864128 is a wasteful number, since it uses less digits than its factorization.

3877864128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354374 (or 354361 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 3877864128 is about 62272.4989702517. The cubic root of 3877864128 is about 1571.0772122373.

The spelling of 3877864128 in words is "three billion, eight hundred seventy-seven million, eight hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 354337 708674 1063011 1417348 2126022 2834696 3189033 4252044 5669392 6378066 6732403 8504088 11338784 12756132 13464806 17008176 20197209 22677568 25512264 26929612 34016352 40394418 51024528 53859224 60591627 68032704 80788836 102049056 107718448 121183254 161577672 204098112 215436896 242366508 323155344 430873792 484733016 646310688 969466032 1292621376 1938932064 3877864128