Search a number
-
+
38604348720 = 24325715315003
BaseRepresentation
bin100011111100111111…
…111001110100110000
310200122101220002212100
4203330333321310300
51113030203124340
625422401100400
72534436356430
oct437477716460
9120571802770
1038604348720
111541016a633
127594627700
133842b972c2
141c230ac2c0
15100e200830
hex8fcff9d30

38604348720 has 240 divisors, whose sum is σ = 148293580032. Its totient is φ = 8816325120.

The previous prime is 38604348709. The next prime is 38604348737. The reversal of 38604348720 is 2784340683.

38604348720 is a `hidden beast` number, since 3 + 8 + 604 + 34 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7713739 + ... + 7718741.

Almost surely, 238604348720 is an apocalyptic number.

38604348720 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 38604348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74146790016).

38604348720 is an abundant number, since it is smaller than the sum of its proper divisors (109689231312).

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

38604348720 is a wasteful number, since it uses less digits than its factorization.

38604348720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 38604348720 in words is "thirty-eight billion, six hundred four million, three hundred forty-eight thousand, seven hundred twenty".