Search a number
-
+
38666833920 = 2123451113163
BaseRepresentation
bin100100000000101110…
…010001000000000000
310200210202110200110000
4210000232101000000
51113142202141140
625432512240000
72536125444141
oct440056210000
9120722420400
1038666833920
11154424686a0
1275b1540000
133852b044b0
141c2b4d5ac8
151014944a30
hex900b91000

38666833920 has 1040 divisors, whose sum is σ = 163842541632. Its totient is φ = 8599633920.

The previous prime is 38666833889. The next prime is 38666833943. The reversal of 38666833920 is 2933866683.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 237219759 + ... + 237219921.

Almost surely, 238666833920 is an apocalyptic number.

38666833920 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 38666833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81921270816).

38666833920 is an abundant number, since it is smaller than the sum of its proper divisors (125175707712).

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

38666833920 is a wasteful number, since it uses less digits than its factorization.

38666833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 38666833920 in words is "thirty-eight billion, six hundred sixty-six million, eight hundred thirty-three thousand, nine hundred twenty".