Search a number
-
+
105636662064684 = 223214916119672379
BaseRepresentation
bin11000000001001101110011…
…101101111011011000101100
3111212000202200121102120020200
4120001031303231323120230
5102321222340442032214
61012400451304513500
731151665651152402
oct3001156355733054
9455022617376220
10105636662064684
1130728290880043
12ba2111447b890
1346c3657514aba
141c12bad997472
15c32cba79cd09
hex601373b7b62c

105636662064684 has 36 divisors (see below), whose sum is σ = 267027810645960. Its totient is φ = 35211982829760.

The previous prime is 105636662064673. The next prime is 105636662064707. The reversal of 105636662064684 is 486460266636501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1056366620646842 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4466394 + ... + 15205985.

It is an arithmetic number, because the mean of its divisors is an integer number (7417439184610).

Almost surely, 2105636662064684 is an apocalyptic number.

It is an amenable number.

105636662064684 is an abundant number, since it is smaller than the sum of its proper divisors (161391148581276).

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

105636662064684 is a wasteful number, since it uses less digits than its factorization.

105636662064684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19821550 (or 19821545 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 105636662064684 in words is "one hundred five trillion, six hundred thirty-six billion, six hundred sixty-two million, sixty-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 149161 298322 447483 596644 894966 1342449 1789932 2684898 5369796 19672379 39344758 59017137 78689516 118034274 177051411 236068548 354102822 708205644 2934351724019 5868703448038 8803055172057 11737406896076 17606110344114 26409165516171 35212220688228 52818331032342 105636662064684