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152836429249 = 72558492
BaseRepresentation
bin1000111001010111000…
…0101101010111000001
3112121111102201001022201
42032111300231113001
510001002111213444
6154113451033201
714020300133200
oct2162560552701
9477442631281
10152836429249
11598aa1a8459
122575473b801
13115490c2b6a
14757c379237
153e97b12dd4
hex2395c2d5c1

152836429249 has 9 divisors (see below), whose sum is σ = 177792499107. Its totient is φ = 131000307984.

The previous prime is 152836429241. The next prime is 152836429297. The reversal of 152836429249 is 942924638251.

The square root of 152836429249 is 390943.

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

It can be written as a sum of positive squares in only one way, i.e., 131473683649 + 21362745600 = 362593^2 + 146160^2 .

It is not a de Polignac number, because 152836429249 - 23 = 152836429241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152836429249.

It is not an unprimeable number, because it can be changed into a prime (152836429241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2708677 + ... + 2764525.

It is an arithmetic number, because the mean of its divisors is an integer number (19754722123).

Almost surely, 2152836429249 is an apocalyptic number.

152836429249 is the 390943-rd square number.

152836429249 is the 195472-nd centered octagonal number.

It is an amenable number.

152836429249 is a deficient number, since it is larger than the sum of its proper divisors (24956069858).

152836429249 is an frugal number, since it uses more digits than its factorization.

152836429249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111712 (or 55856 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 55.

The spelling of 152836429249 in words is "one hundred fifty-two billion, eight hundred thirty-six million, four hundred twenty-nine thousand, two hundred forty-nine".

Divisors: 1 7 49 55849 390943 2736601 3119110801 21833775607 152836429249