Search a number
-
+
107696861584 = 2413263112
BaseRepresentation
bin110010001001100111…
…0111011000110010000
3101021222120122102102021
41210103032323012100
53231030344032314
6121250353301224
710531554135124
oct1442316730620
9337876572367
10107696861584
1141746086134
1218a57564814
13a2042c6400
1452d9379584
152c04d06324
hex19133bb190

107696861584 has 45 divisors (see below), whose sum is σ = 225984142209. Its totient is φ = 49698367680.

The previous prime is 107696861521. The next prime is 107696861651. The reversal of 107696861584 is 485168696701.

It is a happy number.

The square root of 107696861584 is 328172.

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

It can be written as a sum of positive squares in only one way, i.e., 15931488400 + 91765373184 = 126220^2 + 302928^2 .

It is a super-2 number, since 2×1076968615842 (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 17061789 + ... + 17068099.

Almost surely, 2107696861584 is an apocalyptic number.

107696861584 is the 328172-nd square number.

It is an amenable number.

107696861584 is an abundant number, since it is smaller than the sum of its proper divisors (118287280625).

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

107696861584 is an frugal number, since it uses more digits than its factorization.

107696861584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 107696861584 in words is "one hundred seven billion, six hundred ninety-six million, eight hundred sixty-one thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 6311 12622 25244 50488 82043 100976 164086 328172 656344 1066559 1312688 2133118 4266236 8532472 17064944 39828721 79657442 159314884 318629768 517773373 637259536 1035546746 2071093492 4142186984 6731053849 8284373968 13462107698 26924215396 53848430792 107696861584