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38850156360 = 2334567191937
BaseRepresentation
bin100100001011101001…
…100101011101001000
310201021112102102120000
4210023221211131020
51114031120000420
625503021403000
72543512610661
oct441351453510
9121245372500
1038850156360
111552699a544
127642a09460
133881a9c702
141c479b6368
151025aa7690
hex90ba65748

38850156360 has 320 divisors, whose sum is σ = 133364689920. Its totient is φ = 10141148160.

The previous prime is 38850156343. The next prime is 38850156391. The reversal of 38850156360 is 6365105883.

38850156360 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 0 + 1 + 5 + 636 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 41461812 + ... + 41462748.

It is an arithmetic number, because the mean of its divisors is an integer number (416764656).

Almost surely, 238850156360 is an apocalyptic number.

38850156360 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 38850156360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66682344960).

38850156360 is an abundant number, since it is smaller than the sum of its proper divisors (94514533560).

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

38850156360 is a wasteful number, since it uses less digits than its factorization.

38850156360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 38850156360 in words is "thirty-eight billion, eight hundred fifty million, one hundred fifty-six thousand, three hundred sixty".