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145691073025 = 529727872
BaseRepresentation
bin1000011110101111011…
…1010101101000000001
3111221001110110100021121
42013223313111220001
54341333403314100
6150532441152241
713345234454641
oct2075367255001
9457043410247
10145691073025
11568728a3583
122429b78b681
131097a955924
1470a13c2521
153bca68551a
hex21ebdd5a01

145691073025 has 27 divisors (see below), whose sum is σ = 182770810569. Its totient is φ = 115204711680.

The previous prime is 145691073007. The next prime is 145691073029. The reversal of 145691073025 is 520370196541.

The square root of 145691073025 is 381695.

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

145691073025 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 4 ways, for example, as 5356922481 + 140334150544 = 73191^2 + 374612^2 .

It is not a de Polignac number, because 145691073025 - 213 = 145691064833 is a prime.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145691073029) 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 26 ways as a sum of consecutive naturals, for example, 185121682 + ... + 185122468.

Almost surely, 2145691073025 is an apocalyptic number.

145691073025 is the 381695-th square number.

145691073025 is the 190848-th centered octagonal number.

It is an amenable number.

145691073025 is a deficient number, since it is larger than the sum of its proper divisors (37079737544).

145691073025 is an frugal number, since it uses more digits than its factorization.

145691073025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 145691073025 in words is "one hundred forty-five billion, six hundred ninety-one million, seventy-three thousand, twenty-five".

Divisors: 1 5 25 97 485 787 2425 3935 9409 19675 47045 76339 235225 381695 619369 1908475 3096845 7404883 15484225 37024415 60078793 185122075 300393965 1501969825 5827642921 29138214605 145691073025