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152938091329 = 3910732
BaseRepresentation
bin1000111001101111010…
…0100001001101000001
3112121202112000000110221
42032123310201031001
510001204122410304
6154131522023041
714022643220122
oct2163364411501
9477675000427
10152938091329
1159951624701
12257827a7a81
131156419903a
14758ba80049
153ea19e5054
hex239bd21341

152938091329 has 3 divisors (see below), whose sum is σ = 152938482403. Its totient is φ = 152937700256.

The previous prime is 152938091279. The next prime is 152938091347. The reversal of 152938091329 is 923190839251.

The square root of 152938091329 is 391073.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 923190839251 = 1933477594847.

It can be written as a sum of positive squares in only one way, i.e., 48640097025 + 104297994304 = 220545^2 + 322952^2 .

It is not a de Polignac number, because 152938091329 - 217 = 152937960257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152938097329) 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 2 ways as a sum of consecutive naturals, for example, 195537 + ... + 586609.

Almost surely, 2152938091329 is an apocalyptic number.

152938091329 is the 391073-rd square number.

152938091329 is the 195537-th centered octagonal number.

It is an amenable number.

152938091329 is a deficient number, since it is larger than the sum of its proper divisors (391074).

152938091329 is an frugal number, since it uses more digits than its factorization.

152938091329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782146 (or 391073 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 152938091329 in words is "one hundred fifty-two billion, nine hundred thirty-eight million, ninety-one thousand, three hundred twenty-nine".

Divisors: 1 391073 152938091329