Search a number
-
+
239197378680 = 23325131719792003
BaseRepresentation
bin1101111011000101000…
…1100101100001111000
3211212102002001211112100
43132301101211201320
512404334012104210
6301515153543400
723165351112651
oct3366121454170
9755362054470
10239197378680
1192496758a37
123a436874b60
1319730011680
14b811c40528
15634e7675c0
hex37b1465878

239197378680 has 768 divisors, whose sum is σ = 945374976000. Its totient is φ = 51808813056.

The previous prime is 239197378669. The next prime is 239197378741. The reversal of 239197378680 is 86873791932.

239197378680 is a `hidden beast` number, since 2 + 391 + 97 + 3 + 7 + 86 + 80 = 666.

239197378680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119418559 + ... + 119420561.

It is an arithmetic number, because the mean of its divisors is an integer number (1230957000).

Almost surely, 2239197378680 is an apocalyptic number.

239197378680 is a gapful number since it is divisible by the number (20) 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 239197378680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472687488000).

239197378680 is an abundant number, since it is smaller than the sum of its proper divisors (706177597320).

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

239197378680 is a wasteful number, since it uses less digits than its factorization.

239197378680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 239197378680 in words is "two hundred thirty-nine billion, one hundred ninety-seven million, three hundred seventy-eight thousand, six hundred eighty".