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38380797000 = 23345371341127
BaseRepresentation
bin100011101111101011…
…000111110001001000
310200001211020111120000
4203233223013301020
51112100441001000
625344253403000
72526053251230
oct435753076110
9120054214500
1038380797000
1115305a60947
127531799460
133808785090
141c01518cc0
15ee9793000
hex8efac7c48

38380797000 has 1280 divisors, whose sum is σ = 170481991680. Its totient is φ = 7838208000.

The previous prime is 38380796989. The next prime is 38380797001. The reversal of 38380797000 is 79708383.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38380797001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 302210937 + ... + 302211063.

It is an arithmetic number, because the mean of its divisors is an integer number (133189056).

Almost surely, 238380797000 is an apocalyptic number.

38380797000 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 38380797000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85240995840).

38380797000 is an abundant number, since it is smaller than the sum of its proper divisors (132101194680).

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

38380797000 is a wasteful number, since it uses less digits than its factorization.

38380797000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 38380797000 in words is "thirty-eight billion, three hundred eighty million, seven hundred ninety-seven thousand".