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156728328192 = 215314
BaseRepresentation
bin1001000111110110111…
…1001000000000000000
3112222112200000000000000
42101331233020000000
510031434423000232
6200000000000000
714215605544302
oct2217557100000
9488480000000
10156728328192
1160517067767
1226460000000
1311a194c5647
14782b1cd972
15412463327c
hex247dbc8000

156728328192 has 240 divisors, whose sum is σ = 470177777355. Its totient is φ = 52242776064.

The previous prime is 156728328187. The next prime is 156728328227. The reversal of 156728328192 is 291823827651.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (3!)14 ⋅ 2!.

156728328192 is a `hidden beast` number, since 156 + 7 + 283 + 28 + 192 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78364164096 + 78364164096 = 279936^2 + 279936^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=279936.

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

Its product of digits (2903040) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 52242776063 + 52242776064 + 52242776065.

Almost surely, 2156728328192 is an apocalyptic number.

156728328192 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 156728328192

156728328192 is an abundant number, since it is smaller than the sum of its proper divisors (313449449163).

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

156728328192 is an frugal number, since it uses more digits than its factorization.

156728328192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 5 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 156728328192 in words is "one hundred fifty-six billion, seven hundred twenty-eight million, three hundred twenty-eight thousand, one hundred ninety-two".