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317752053025 = 521123722772
BaseRepresentation
bin1001001111110110111…
…11111000110100100001
31010101011200112202110111
410213323133320310201
520201224011144100
6401550121131321
731646122613101
oct4477337706441
91111150482414
10317752053025
11112837828500
12516ba629b41
1323c6b8880b4
1411544a69201
1583eaddb6ba
hex49fb7f8d21

317752053025 has 81 divisors (see below), whose sum is σ = 446722304427. Its totient is φ = 224034940800.

The previous prime is 317752052999. The next prime is 317752053079. The reversal of 317752053025 is 520350257713.

The square root of 317752053025 is 563695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 172862198289 + 144889854736 = 415767^2 + 380644^2 .

It is not a de Polignac number, because 317752053025 - 223 = 317743664417 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1147119187 + ... + 1147119463.

Almost surely, 2317752053025 is an apocalyptic number.

317752053025 is the 563695-th square number.

317752053025 is the 281848-th centered octagonal number.

It is an amenable number.

317752053025 is a deficient number, since it is larger than the sum of its proper divisors (128970251402).

317752053025 is an equidigital number, since it uses as much as digits as its factorization.

317752053025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 40.

The spelling of 317752053025 in words is "three hundred seventeen billion, seven hundred fifty-two million, fifty-three thousand, twenty-five".

Divisors: 1 5 11 25 37 55 121 185 275 277 407 605 925 1369 1385 2035 3025 3047 4477 6845 6925 10175 10249 15059 15235 22385 33517 34225 51245 75295 76175 76729 111925 112739 165649 167585 256225 376475 379213 383645 563695 828245 837925 844019 1240129 1896065 1918225 2818475 2838973 4141225 4171343 4220095 6200645 9284209 9480325 14194865 20856715 21100475 31003225 31228703 45884773 46421045 70974325 104283575 105042001 156143515 229423865 232105225 343515733 525210005 780717575 1147119325 1155462011 1717578665 2626050025 5777310055 8587893325 12710082121 28886550275 63550410605 317752053025