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328621295025 = 3452127392
BaseRepresentation
bin1001100100000110101…
…10110000010110110001
31011102020011221110110000
410302003112300112301
520341004022420100
6410544434500213
732512353630222
oct4620326602661
91142204843400
10328621295025
11117405176931
1253832734669
1324cb168cc3a
1411c9641d249
15883524c900
hex4c835b05b1

328621295025 has 45 divisors (see below), whose sum is σ = 608768023611. Its totient is φ = 175250932560.

The previous prime is 328621294999. The next prime is 328621295033. The reversal of 328621295025 is 520592126823.

The square root of 328621295025 is 573255.

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

328621295025 is a `hidden beast` number, since 328 + 6 + 212 + 95 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118303666209 + 210317628816 = 343953^2 + 458604^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 328621295025 - 211 = 328621292977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 25790106 + ... + 25802844.

Almost surely, 2328621295025 is an apocalyptic number.

328621295025 is the 573255-th square number.

328621295025 is the 286628-th centered octagonal number.

It is an amenable number.

328621295025 is a deficient number, since it is larger than the sum of its proper divisors (280146728586).

328621295025 is an frugal number, since it uses more digits than its factorization.

328621295025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25500 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 328621295025 in words is "three hundred twenty-eight billion, six hundred twenty-one million, two hundred ninety-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 12739 38217 63695 114651 191085 318475 343953 573255 955425 1031859 1719765 2866275 5159295 8598825 25796475 162282121 486846363 811410605 1460539089 2434231815 4057053025 4381617267 7302695445 12171159075 13144851801 21908086335 36513477225 65724259005 109540431675 328621295025