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158148130896 = 243272937732003
BaseRepresentation
bin1001001101001001011…
…1001111100001010000
3120010012121121110011100
42103102113033201100
510042341410142041
6200352515144400
714266025634630
oct2232227174120
9503177543140
10158148130896
1161085551528
12267975a5100
1311bb46b87a2
1479239b86c0
1541a90da6b6
hex24d25cf850

158148130896 has 480 divisors, whose sum is σ = 545041186560. Its totient is φ = 41845579776.

The previous prime is 158148130837. The next prime is 158148130897. The reversal of 158148130896 is 698031841851.

It is a happy number.

158148130896 is a `hidden beast` number, since 1 + 5 + 81 + 481 + 3 + 0 + 89 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158148130897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78954631 + ... + 78956633.

It is an arithmetic number, because the mean of its divisors is an integer number (1135502472).

Almost surely, 2158148130896 is an apocalyptic number.

158148130896 is a gapful number since it is divisible by the number (16) 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 158148130896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272520593280).

158148130896 is an abundant number, since it is smaller than the sum of its proper divisors (386893055664).

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

158148130896 is a wasteful number, since it uses less digits than its factorization.

158148130896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 158148130896 in words is "one hundred fifty-eight billion, one hundred forty-eight million, one hundred thirty thousand, eight hundred ninety-six".