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38166818100 = 22352196695933
BaseRepresentation
bin100011100010111010…
…110110110100110100
310122111220121020200120
4203202322312310310
51111131201134400
625311131211540
72520544413105
oct434272666464
9118456536616
1038166818100
11152061a0384
127491ba6bb0
1337a3345148
141bc0d383ac
15ed5ac6ca0
hex8e2eb6d34

38166818100 has 72 divisors (see below), whose sum is σ = 116241414240. Its totient is φ = 9642142080.

The previous prime is 38166818093. The next prime is 38166818113. The reversal of 38166818100 is 181866183.

It is a super-2 number, since 2×381668181002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3342267 + ... + 3353666.

Almost surely, 238166818100 is an apocalyptic number.

38166818100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38166818100 is an abundant number, since it is smaller than the sum of its proper divisors (78074596140).

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

38166818100 is a wasteful number, since it uses less digits than its factorization.

38166818100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695969 (or 6695962 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 38166818100 in words is "thirty-eight billion, one hundred sixty-six million, eight hundred eighteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 6695933 13391866 20087799 26783732 33479665 40175598 66959330 80351196 100438995 127222727 133918660 167398325 200877990 254445454 334796650 381668181 401755980 502194975 508890908 636113635 669593300 763336362 1004389950 1272227270 1526672724 1908340905 2008779900 2544454540 3180568175 3816681810 6361136350 7633363620 9541704525 12722272700 19083409050 38166818100