Search a number
-
+
158097392640 = 210325112371191
BaseRepresentation
bin1001001100111101010…
…1101100010000000000
3120010002002010200100200
42103033111230100000
510042240413031030
6200343503445200
714264541443655
oct2231725542000
9503062120320
10158097392640
1161059947090
12267825b6800
1311ba7032355
14791ad6bc2c
1541a4916d60
hex24cf56c400

158097392640 has 1056 divisors, whose sum is σ = 635680161792. Its totient is φ = 35954688000.

The previous prime is 158097392639. The next prime is 158097392707. The reversal of 158097392640 is 46293790851.

158097392640 is a `hidden beast` number, since 1 + 580 + 9 + 7 + 39 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 827734945 + ... + 827735135.

It is a 2-persistent number, because it is pandigital, and so is 2⋅158097392640 = 316194785280, but 3⋅158097392640 = 474292177920 is not.

Almost surely, 2158097392640 is an apocalyptic number.

158097392640 is a gapful number since it is divisible by the number (10) 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 158097392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317840080896).

158097392640 is an abundant number, since it is smaller than the sum of its proper divisors (477582769152).

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

158097392640 is a wasteful number, since it uses less digits than its factorization.

158097392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 158097392640 in words is "one hundred fifty-eight billion, ninety-seven million, three hundred ninety-two thousand, six hundred forty".