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145599480625 = 54152632
BaseRepresentation
bin1000011110011001100…
…1111100001100110001
3111220211002002222010111
42013212121330030301
54341141431340000
6150515410101321
713343043110464
oct2074631741461
9456732088114
10145599480625
1156826124885
1224274b7a841
1310964996c41
14709317d2db
153bc25e1cba
hex21e667c331

145599480625 has 15 divisors (see below), whose sum is σ = 181953032173. Its totient is φ = 116471953000.

The previous prime is 145599480617. The next prime is 145599480643. The reversal of 145599480625 is 526084995541.

The square root of 145599480625 is 381575.

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

145599480625 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 2 ways, for example, as 11414999281 + 134184481344 = 106841^2 + 366312^2 .

It is not a de Polignac number, because 145599480625 - 23 = 145599480617 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 145599480625.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 9531744 + ... + 9547006.

Almost surely, 2145599480625 is an apocalyptic number.

145599480625 is the 381575-th square number.

145599480625 is the 190788-th centered octagonal number.

It is an amenable number.

145599480625 is a deficient number, since it is larger than the sum of its proper divisors (36353551548).

145599480625 is an frugal number, since it uses more digits than its factorization.

145599480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30546 (or 15268 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 58.

The spelling of 145599480625 in words is "one hundred forty-five billion, five hundred ninety-nine million, four hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 15263 76315 381575 1907875 9539375 232959169 1164795845 5823979225 29119896125 145599480625