Search a number
-
+
238606442496 = 2133317233189
BaseRepresentation
bin1101111000111000001…
…1010110000000000000
3211210212220010011111000
43132032003112000000
512402131222124441
6301340404052000
723144614203642
oct3361603260000
9753786104430
10238606442496
1192213130924
123a2b0994000
131966776a4a6
14b797576892
15631793a2b6
hex378e0d6000

238606442496 has 896 divisors, whose sum is σ = 815322931200. Its totient is φ = 68513955840.

The previous prime is 238606442491. The next prime is 238606442507. The reversal of 238606442496 is 694244606832.

238606442496 is a `hidden beast` number, since 2 + 3 + 8 + 606 + 4 + 4 + 24 + 9 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238606442491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2680971220 + ... + 2680971308.

Almost surely, 2238606442496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238606442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407661465600).

238606442496 is an abundant number, since it is smaller than the sum of its proper divisors (576716488704).

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

238606442496 is a wasteful number, since it uses less digits than its factorization.

238606442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 238606442496 in words is "two hundred thirty-eight billion, six hundred six million, four hundred forty-two thousand, four hundred ninety-six".