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328931460225 = 3452179555017
BaseRepresentation
bin1001100100101011101…
…01111100010010000001
31011110000210120111010000
410302111311330102001
520342122423211400
6411035314430213
732523141165024
oct4622565742201
91143023514100
10328931460225
11117554263605
12538ba592369
1325030a09844
1411cc56bb1bb
1588525b8600
hex4c95d7c481

328931460225 has 60 divisors (see below), whose sum is σ = 645135705324. Its totient is φ = 165110676480.

The previous prime is 328931460161. The next prime is 328931460287. The reversal of 328931460225 is 522064139823.

328931460225 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 3 + 14 + 602 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 423659889 + 328507800336 = 20583^2 + 573156^2 .

It is not a de Polignac number, because 328931460225 - 26 = 328931460161 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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4743084 + ... + 4811933.

Almost surely, 2328931460225 is an apocalyptic number.

It is an amenable number.

328931460225 is a deficient number, since it is larger than the sum of its proper divisors (316204245099).

328931460225 is a wasteful number, since it uses less digits than its factorization.

328931460225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9555056 (or 9555042 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 328931460225 in words is "three hundred twenty-eight billion, nine hundred thirty-one million, four hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 405 425 459 675 765 1275 1377 2025 2295 3825 6885 11475 34425 9555017 28665051 47775085 85995153 143325255 162435289 238875425 257985459 429975765 487305867 716626275 773956377 812176445 1289927295 1461917601 2149878825 2436529335 3869781885 4060882225 4385752803 6449636475 7309588005 12182646675 13157258409 19348909425 21928764015 36547940025 65786292045 109643820075 328931460225