Search a number
-
+
158008320000 = 2133554127
BaseRepresentation
bin1001001100101000000…
…1111010000000000000
3120002211212112022200000
42103022001322000000
510042100112220000
6200331002400000
714262410362656
oct2231201720000
9502755468600
10158008320000
1161013639533
1226758800000
1311b9174654b
14790d1c2dd6
15419bbc0000
hex24ca07a000

158008320000 has 840 divisors, whose sum is σ = 596150370816. Its totient is φ = 41803776000.

The previous prime is 158008319993. The next prime is 158008320013. The reversal of 158008320000 is 23800851.

It is a happy number.

158008320000 is a `hidden beast` number, since 1 + 580 + 0 + 83 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1244159937 + ... + 1244160063.

Almost surely, 2158008320000 is an apocalyptic number.

158008320000 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 158008320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298075185408).

158008320000 is an abundant number, since it is smaller than the sum of its proper divisors (438142050816).

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

158008320000 is an frugal number, since it uses more digits than its factorization.

158008320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 158008320000 in words is "one hundred fifty-eight billion, eight million, three hundred twenty thousand".