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318387090564 = 223215725992
BaseRepresentation
bin1001010001000010101…
…10010111010010000100
31010102210221111000012100
410220201112113102010
520204024043344224
6402133124152100
732000633421354
oct4504126272204
91112727430170
10318387090564
11113033237614
1251857238630
132404030085a
14115a5132b64
158436a2aac9
hex4a21597484

318387090564 has 81 divisors (see below), whose sum is σ = 811325115237. Its totient is φ = 105277000608.

The previous prime is 318387090559. The next prime is 318387090577. The reversal of 318387090564 is 465090783813.

The square root of 318387090564 is 564258.

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

318387090564 is a `hidden beast` number, since 3 + 1 + 8 + 3 + 8 + 70 + 9 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93324140100 + 225062950464 = 305490^2 + 474408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 318387090564.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 531530737 + ... + 531531335.

Almost surely, 2318387090564 is an apocalyptic number.

318387090564 is the 564258-th square number.

It is an amenable number.

318387090564 is an abundant number, since it is smaller than the sum of its proper divisors (492938024673).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

318387090564 is an equidigital number, since it uses as much as digits as its factorization.

318387090564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 318387090564 in words is "three hundred eighteen billion, three hundred eighty-seven million, ninety thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 599 628 942 1198 1413 1797 1884 2396 2826 3594 5391 5652 7188 10782 21564 24649 49298 73947 94043 98596 147894 188086 221841 282129 295788 358801 376172 443682 564258 717602 846387 887364 1076403 1128516 1435204 1692774 2152806 3229209 3385548 4305612 6458418 12916836 14764751 29529502 44294253 56331757 59059004 88588506 112663514 132882759 168995271 177177012 225327028 265765518 337990542 506985813 531531036 675981084 1013971626 2027943252 8844085849 17688171698 26532257547 35376343396 53064515094 79596772641 106129030188 159193545282 318387090564