Search a number
-
+
38748390912 = 2932721115601
BaseRepresentation
bin100100000101100101…
…011000011000000000
310201000102221012121100
4210011211120120000
51113324042002122
625444544254400
72541135613500
oct440545303000
9121012835540
1038748390912
1115484502670
127614911400
13386698b47a
141c38285a00
15101bba4aac
hex905958600

38748390912 has 360 divisors, whose sum is σ = 141923842632. Its totient is φ = 10063872000.

The previous prime is 38748390907. The next prime is 38748390913. The reversal of 38748390912 is 21909384783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38748390913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2475912 + ... + 2491512.

Almost surely, 238748390912 is an apocalyptic number.

38748390912 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 38748390912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70961921316).

38748390912 is an abundant number, since it is smaller than the sum of its proper divisors (103175451720).

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

38748390912 is a wasteful number, since it uses less digits than its factorization.

38748390912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15650 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 38748390912 in words is "thirty-eight billion, seven hundred forty-eight million, three hundred ninety thousand, nine hundred twelve".