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38680169220 = 223357112194451
BaseRepresentation
bin100100000001100001…
…001000101100000100
310200211200120012001000
4210001201020230010
51113204110403340
625434110133300
72536350004440
oct440141105404
9120750505030
1038680169220
1115449a46700
1275b5ab1230
1338557c31c4
141c2d1a7820
151015bcad30
hex901848b04

38680169220 has 576 divisors, whose sum is σ = 159160780800. Its totient is φ = 7612704000.

The previous prime is 38680169191. The next prime is 38680169221. The reversal of 38680169220 is 2296108683.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38680169221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8687995 + ... + 8692445.

It is an arithmetic number, because the mean of its divisors is an integer number (276320800).

Almost surely, 238680169220 is an apocalyptic number.

38680169220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38680169220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79580390400).

38680169220 is an abundant number, since it is smaller than the sum of its proper divisors (120480611580).

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

38680169220 is a wasteful number, since it uses less digits than its factorization.

38680169220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38680169220 in words is "thirty-eight billion, six hundred eighty million, one hundred sixty-nine thousand, two hundred twenty".