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38244890112 = 293113131439
BaseRepresentation
bin100011100111100100…
…101011011000000000
310122201100111201100120
4203213210223120000
51111311142440422
625323000420240
72522513126232
oct434744533000
9118640451316
1038244890112
1115246275000
1274b4177680
1337b657bac0
141bcb45c252
15edc89945c
hex8e792b600

38244890112 has 320 divisors, whose sum is σ = 120772270080. Its totient is φ = 10690437120.

The previous prime is 38244890087. The next prime is 38244890119. The reversal of 38244890112 is 21109844283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38244890119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26576689 + ... + 26578127.

It is an arithmetic number, because the mean of its divisors is an integer number (377413344).

Almost surely, 238244890112 is an apocalyptic number.

38244890112 is a gapful number since it is divisible by the number (32) 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 38244890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60386135040).

38244890112 is an abundant number, since it is smaller than the sum of its proper divisors (82527379968).

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

38244890112 is a wasteful number, since it uses less digits than its factorization.

38244890112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 38244890112 in words is "thirty-eight billion, two hundred forty-four million, eight hundred ninety thousand, one hundred twelve".