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158475648100 = 225272114472
BaseRepresentation
bin1001001110010111100…
…0100111110001100100
3120011001102220001022011
42103211320213301210
510044024231214400
6200445215044004
714310113532400
oct2234570476144
9504042801264
10158475648100
1161233410000
1226869210604
1311c374cc453
1479552b2100
1541c7c328ba
hex24e5e27c64

158475648100 has 405 divisors, whose sum is σ = 449600595465. Its totient is φ = 48344049600.

The previous prime is 158475648073. The next prime is 158475648101. The reversal of 158475648100 is 1846574851.

The square root of 158475648100 is 398090.

It is a perfect power (a square), and thus also a powerful number.

158475648100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57051233316 + 101424414784 = 238854^2 + 318472^2 .

It is a super-2 number, since 2×1584756481002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (158475648101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3371822277 + ... + 3371822323.

Almost surely, 2158475648100 is an apocalyptic number.

158475648100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

158475648100 is the 398090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158475648100

158475648100 is an abundant number, since it is smaller than the sum of its proper divisors (291124947365).

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

158475648100 is an equidigital number, since it uses as much as digits as its factorization.

158475648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

Multiplying 158475648100 by its sum of digits (49), we get a square (7765306756900 = 27866302).

158475648100 divided by its sum of digits (49) gives a square (3234196900 = 568702).

The spelling of 158475648100 in words is "one hundred fifty-eight billion, four hundred seventy-five million, six hundred forty-eight thousand, one hundred".