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315997218896 = 242921493972
BaseRepresentation
bin1001001100100101110…
…01101110100001010000
31010012122101111221120212
410212102321232201100
520134130242001041
6401100033023252
731554464020442
oct4462271564120
91105571457525
10315997218896
11112017212667
12512aa9b4b28
1323a4c14ccc8
141141998c492
158346d058eb
hex4992e6e850

315997218896 has 90 divisors (see below), whose sum is σ = 639952051050. Its totient is φ = 151144874496.

The previous prime is 315997218869. The next prime is 315997218923. The reversal of 315997218896 is 698812799513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315997218869) and next prime (315997218923).

It can be written as a sum of positive squares in 9 ways, for example, as 50834015296 + 265163203600 = 225464^2 + 514940^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 795962570 + ... + 795962966.

It is an arithmetic number, because the mean of its divisors is an integer number (7110578345).

Almost surely, 2315997218896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315997218896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319976025525).

315997218896 is an abundant number, since it is smaller than the sum of its proper divisors (323954832154).

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

315997218896 is an equidigital number, since it uses as much as digits as its factorization.

315997218896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 577 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 68.

The spelling of 315997218896 in words is "three hundred fifteen billion, nine hundred ninety-seven million, two hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 149 232 298 397 464 596 794 841 1192 1588 1682 2384 3176 3364 4321 6352 6728 8642 11513 13456 17284 23026 34568 46052 59153 69136 92104 118306 125309 157609 184208 236612 250618 315218 333877 473224 501236 630436 667754 946448 1002472 1260872 1335508 1715437 2004944 2521744 2671016 3430874 4570661 5342032 6861748 9141322 13723496 18282644 23483741 27446992 36565288 46967482 49747673 73130576 93934964 99495346 132549169 187869928 198990692 265098338 375739856 397981384 530196676 681028489 795962768 1060393352 1362056978 2120786704 2724113956 5448227912 10896455824 19749826181 39499652362 78999304724 157998609448 315997218896