Search a number
-
+
39331693920 = 2535315971631
BaseRepresentation
bin100100101000010110…
…100000010101100000
310202112002112001220110
4210220112200111200
51121022403201140
630022502411320
72561450611401
oct445026402540
9122462461813
1039331693920
1115753796872
127758130b40
13392a78c18c
141c919239a8
151052ec5380
hex9285a0560

39331693920 has 384 divisors, whose sum is σ = 132099932160. Its totient is φ = 9821952000.

The previous prime is 39331693883. The next prime is 39331693931. The reversal of 39331693920 is 2939613393.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39331693920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62332005 + ... + 62332635.

It is an arithmetic number, because the mean of its divisors is an integer number (344010240).

Almost surely, 239331693920 is an apocalyptic number.

39331693920 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 39331693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66049966080).

39331693920 is an abundant number, since it is smaller than the sum of its proper divisors (92768238240).

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

39331693920 is a wasteful number, since it uses less digits than its factorization.

39331693920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 48.

The spelling of 39331693920 in words is "thirty-nine billion, three hundred thirty-one million, six hundred ninety-three thousand, nine hundred twenty".