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329944720625 = 541321371512
BaseRepresentation
bin1001100110100100011…
…11001110010011110001
31011112122102012110001222
410303102033032103301
520401211322030000
6411324032234425
732560223565002
oct4632217162361
91145572173058
10329944720625
11117a242140a3
1253b4199ba15
132516290a600
1411d800bb1a9
1588b1518a85
hex4cd23ce4f1

329944720625 has 90 divisors (see below), whose sum is σ = 452710603422. Its totient is φ = 240271200000.

The previous prime is 329944720579. The next prime is 329944720631. The reversal of 329944720625 is 526027449923.

It can be written as a sum of positive squares in 15 ways, for example, as 311639713009 + 18305007616 = 558247^2 + 135296^2 .

It is not a de Polignac number, because 329944720625 - 26 = 329944720561 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2185064300 + ... + 2185064450.

Almost surely, 2329944720625 is an apocalyptic number.

It is an amenable number.

329944720625 is a deficient number, since it is larger than the sum of its proper divisors (122765882797).

329944720625 is an equidigital number, since it uses as much as digits as its factorization.

329944720625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 329944720625 in words is "three hundred twenty-nine billion, nine hundred forty-four million, seven hundred twenty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 137 151 169 325 625 685 755 845 1625 1781 1963 3425 3775 4225 8125 8905 9815 17125 18875 20687 21125 22801 23153 25519 44525 49075 85625 94375 103435 105625 114005 115765 127595 222625 245375 268931 296413 517175 570025 578825 637975 1113125 1226875 1344655 1482065 2585875 2850125 2894125 3123737 3189875 3496103 3853369 6723275 7410325 12929375 14250625 14470625 15618685 15949375 17480515 19266845 33616375 37051625 40608581 78093425 87402575 96334225 168081875 185258125 203042905 390467125 437012875 481671125 527911553 1015214525 1952335625 2185064375 2408355625 2639557765 5076072625 13197788825 25380363125 65988944125 329944720625