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38180282868 = 2232713193147421
BaseRepresentation
bin100011100011101110…
…001110000111110100
310122112211221022212200
4203203232032013310
51111143123022433
625312331544500
72521100023020
oct434356160764
9118484838780
1038180282868
1115212857692
1274965bb130
1337a607aa70
141bc2a41380
15ed6d86613
hex8e3b8e1f4

38180282868 has 576 divisors, whose sum is σ = 132127457280. Its totient is φ = 9013939200.

The previous prime is 38180282867. The next prime is 38180282929. The reversal of 38180282868 is 86828208183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38180282867) 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 191 ways as a sum of consecutive naturals, for example, 90689298 + ... + 90689718.

Almost surely, 238180282868 is an apocalyptic number.

38180282868 is a gapful number since it is divisible by the number (38) 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 38180282868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66063728640).

38180282868 is an abundant number, since it is smaller than the sum of its proper divisors (93947174412).

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

38180282868 is a wasteful number, since it uses less digits than its factorization.

38180282868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 38180282868 in words is "thirty-eight billion, one hundred eighty million, two hundred eighty-two thousand, eight hundred sixty-eight".