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158148329472 = 221347219
BaseRepresentation
bin1001001101001001100…
…0000000000000000000
3120010012121222112120000
42103102120000000000
510042341433020342
6200352523320000
714266030422600
oct2232230000000
9503177875500
10158148329472
1161085677741
1226797680000
1311bb4757ca3
147923a2ac00
1541a912944c
hex24d2600000

158148329472 has 660 divisors, whose sum is σ = 578562155820. Its totient is φ = 42807066624.

The previous prime is 158148329447. The next prime is 158148329473. The reversal of 158148329472 is 274923841851.

158148329472 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 483 + 2 + 94 + 72 = 666.

158148329472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1581483294722 (a number of 23 digits) contains 22 as substring.

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 (158148329473) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8323596279 + ... + 8323596297.

It is an arithmetic number, because the mean of its divisors is an integer number (876609327).

Almost surely, 2158148329472 is an apocalyptic number.

158148329472 is a gapful number since it is divisible by the number (12) 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 158148329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289281077910).

158148329472 is an abundant number, since it is smaller than the sum of its proper divisors (420413826348).

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

158148329472 is an frugal number, since it uses more digits than its factorization.

158148329472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 31 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 158148329472 in words is "one hundred fifty-eight billion, one hundred forty-eight million, three hundred twenty-nine thousand, four hundred seventy-two".