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316106668242 = 23237809586693
BaseRepresentation
bin1001001100110010110…
…11001111100011010010
31010012221000110112212100
410212121123033203102
520134341301340432
6401114542541230
731560263226651
oct4463133174322
91105830415770
10316106668242
11112072a78572
125131b597816
1323a68a21831
141142a31d198
15835172507c
hex49996cf8d2

316106668242 has 48 divisors (see below), whose sum is σ = 704279211480. Its totient is φ = 102394181376.

The previous prime is 316106668211. The next prime is 316106668243. The reversal of 316106668242 is 242866601613.

It can be written as a sum of positive squares in 4 ways, for example, as 306020282481 + 10086385761 = 553191^2 + 100431^2 .

It is not an unprimeable number, because it can be changed into a prime (316106668243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245448 + ... + 832140.

Almost surely, 2316106668242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316106668242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352139605740).

316106668242 is an abundant number, since it is smaller than the sum of its proper divisors (388172543238).

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

316106668242 is a wasteful number, since it uses less digits than its factorization.

316106668242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587547 (or 587544 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 316106668242 in words is "three hundred sixteen billion, one hundred six million, six hundred sixty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 809 1618 2427 4854 7281 14562 29933 59866 89799 179598 269397 538794 586693 1173386 1760079 3520158 5280237 10560474 21707641 43415282 65122923 130245846 195368769 390737538 474634637 949269274 1423903911 2847807822 4271711733 8543423466 17561481569 35122963138 52684444707 105368889414 158053334121 316106668242