Search a number
-
+
105168331416 = 23315129019959
BaseRepresentation
bin110000111110010000…
…1010110001010011000
3101001110100202210002210
41201330201112022120
53210341043101131
6120151430155120
710412112032061
oct1417441261230
9331410683083
10105168331416
1140668865a85
12184707b2aa0
139bc04b8005
14513961d568
152b07d42146
hex187c856298

105168331416 has 32 divisors (see below), whose sum is σ = 264662035200. Its totient is φ = 34823949600.

The previous prime is 105168331399. The next prime is 105168331447. The reversal of 105168331416 is 614133861501.

It is a super-2 number, since 2×1051683314162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14506356 + ... + 14513603.

It is an arithmetic number, because the mean of its divisors is an integer number (8270688600).

Almost surely, 2105168331416 is an apocalyptic number.

It is an amenable number.

105168331416 is an abundant number, since it is smaller than the sum of its proper divisors (159493703784).

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

105168331416 is a wasteful number, since it uses less digits than its factorization.

105168331416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29020119 (or 29020115 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 105168331416 in words is "one hundred five billion, one hundred sixty-eight million, three hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 151 302 453 604 906 1208 1812 3624 29019959 58039918 87059877 116079836 174119754 232159672 348239508 696479016 4382013809 8764027618 13146041427 17528055236 26292082854 35056110472 52584165708 105168331416