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38608366500 = 22345311791097
BaseRepresentation
bin100011111101001111…
…001110101110100100
310200122200110020020000
4203331033032232210
51113032220212000
625423023141300
72534515462164
oct437517165644
9120580406200
1038608366500
1115412464210
127595a44830
133843972ca2
141c238365a4
15100e746000
hex8fd3ceba4

38608366500 has 480 divisors, whose sum is σ = 139277698560. Its totient is φ = 9232704000.

The previous prime is 38608366493. The next prime is 38608366543. The reversal of 38608366500 is 566380683.

38608366500 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 83 + 66 + 500 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35193952 + ... + 35195048.

It is an arithmetic number, because the mean of its divisors is an integer number (290161872).

Almost surely, 238608366500 is an apocalyptic number.

38608366500 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 38608366500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638849280).

38608366500 is an abundant number, since it is smaller than the sum of its proper divisors (100669332060).

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

38608366500 is a wasteful number, since it uses less digits than its factorization.

38608366500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 38608366500 in words is "thirty-eight billion, six hundred eight million, three hundred sixty-six thousand, five hundred".