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317061338724 = 223213272192
BaseRepresentation
bin1001001110100100101…
…01000001011001100100
31010022101112211211120100
410213102111001121210
520143320200314344
6401353404504100
731623034624554
oct4472225013144
91108345754510
10317061338724
11112512950639
125154724b030
1323b8b74a400
14114bb02b164
1583aa450569
hex49d2541664

317061338724 has 81 divisors (see below), whose sum is σ = 867974027193. Its totient is φ = 97543821024.

The previous prime is 317061338683. The next prime is 317061338747. The reversal of 317061338724 is 427833160713.

The square root of 317061338724 is 563082.

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

317061338724 is a `hidden beast` number, since 3 + 1 + 7 + 0 + 613 + 3 + 8 + 7 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46902564900 + 270158773824 = 216570^2 + 519768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 317061338724.

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, 43916787 + ... + 43924005.

Almost surely, 2317061338724 is an apocalyptic number.

317061338724 is the 563082-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317061338724

317061338724 is an abundant number, since it is smaller than the sum of its proper divisors (550912688469).

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

317061338724 is an equidigital number, since it uses as much as digits as its factorization.

317061338724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14474 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 317061338724 in words is "three hundred seventeen billion, sixty-one million, three hundred thirty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 7219 14438 21657 28876 43314 64971 86628 93847 129942 187694 259884 281541 375388 563082 844623 1126164 1220011 1689246 2440022 3378492 3660033 4880044 7320066 10980099 14640132 21960198 43920396 52113961 104227922 156341883 208455844 312683766 469025649 625367532 677481493 938051298 1354962986 1876102596 2032444479 2709925972 4064888958 6097333437 8129777916 8807259409 12194666874 17614518818 24389333748 26421778227 35229037636 52843556454 79265334681 105687112908 158530669362 317061338724