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3868617672 = 23345970089
BaseRepresentation
bin1110011010010110…
…0110101111001000
3100222121111010210000
43212211212233020
530410331231142
61435513523000
7164603464503
oct34645465710
910877433700
103868617672
111705808797
128bb713460
134986409aa
14289b1413a
1517997214c
hexe6966bc8

3868617672 has 40 divisors (see below), whose sum is σ = 10835713350. Its totient is φ = 1289539008.

The previous prime is 3868617653. The next prime is 3868617761. The reversal of 3868617672 is 2767168683.

It can be written as a sum of positive squares in only one way, i.e., 3607924356 + 260693316 = 60066^2 + 16146^2 .

It is a super-2 number, since 2×38686176722 = 29932405384221399168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2984397 + ... + 2985692.

Almost surely, 23868617672 is an apocalyptic number.

It is an amenable number.

3868617672 is an abundant number, since it is smaller than the sum of its proper divisors (6967095678).

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

3868617672 is a wasteful number, since it uses less digits than its factorization.

3868617672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970107 (or 5970094 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3868617672 is about 62198.2127717509. The cubic root of 3868617672 is about 1569.8275159072.

The spelling of 3868617672 in words is "three billion, eight hundred sixty-eight million, six hundred seventeen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 5970089 11940178 17910267 23880356 35820534 47760712 53730801 71641068 107461602 143282136 161192403 214923204 322384806 429846408 483577209 644769612 967154418 1289539224 1934308836 3868617672