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38116980000 = 253554112331
BaseRepresentation
bin100011011111111100…
…101111010100100000
310122101102211012200000
4203133330233110200
51111030421330000
625302151100000
72516400661401
oct433774572440
9118342735600
1038116980000
1115190050270
127479371600
133795c15648
141bb84839a8
15ed1530000
hex8dff2f520

38116980000 has 1440 divisors, whose sum is σ = 165057564672. Its totient is φ = 8553600000.

The previous prime is 38116979921. The next prime is 38116980007. The reversal of 38116980000 is 8961183.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38116980007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1229579985 + ... + 1229580015.

Almost surely, 238116980000 is an apocalyptic number.

38116980000 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 38116980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82528782336).

38116980000 is an abundant number, since it is smaller than the sum of its proper divisors (126940584672).

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

38116980000 is a wasteful number, since it uses less digits than its factorization.

38116980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 38116980000 in words is "thirty-eight billion, one hundred sixteen million, nine hundred eighty thousand".