Search a number
-
+
38472840000 = 26335472727
BaseRepresentation
bin100011110101001010…
…001111001101000000
310200022020102202211000
4203311022033031000
51112243021340000
625401342252000
72531251513200
oct436512171500
9120266382730
1038472840000
1115352a08141
127558587000
133821870baa
141c0d838400
1510028c5000
hex8f528f340

38472840000 has 840 divisors, whose sum is σ = 164634550080. Its totient is φ = 8781696000.

The previous prime is 38472839981. The next prime is 38472840001. The reversal of 38472840000 is 4827483.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38472840001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52919637 + ... + 52920363.

It is an arithmetic number, because the mean of its divisors is an integer number (195993512).

Almost surely, 238472840000 is an apocalyptic number.

38472840000 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 38472840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82317275040).

38472840000 is an abundant number, since it is smaller than the sum of its proper divisors (126161710080).

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

38472840000 is an equidigital number, since it uses as much as digits as its factorization.

38472840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 38472840000 in words is "thirty-eight billion, four hundred seventy-two million, eight hundred forty thousand".