Search a number
-
+
105195992231628 = 22322922110895323
BaseRepresentation
bin10111111010110011011001…
…101111111010111011001100
3111210110122020120101121112200
4113322303121233322323030
5102242012343002403003
61011422212141001500
731105105516321464
oct2772633157727314
9453418216347480
10105195992231628
1130578408185171
12b96b830b53290
134690c2a117aac
141bd97282a2ba4
15c265c86a86a3
hex5facd9bfaecc

105195992231628 has 18 divisors (see below), whose sum is σ = 265912091474484. Its totient is φ = 35065330743864.

The previous prime is 105195992231621. The next prime is 105195992231633. The reversal of 105195992231628 is 826132299591501.

105195992231628 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 9 + 599 + 2 + 2 + 3 + 16 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1051959922316282 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105195992231621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1461055447626 + ... + 1461055447697.

Almost surely, 2105195992231628 is an apocalyptic number.

105195992231628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105195992231628 is an abundant number, since it is smaller than the sum of its proper divisors (160716099242856).

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

105195992231628 is a wasteful number, since it uses less digits than its factorization.

105195992231628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922110895333 (or 2922110895328 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 105195992231628 in words is "one hundred five trillion, one hundred ninety-five billion, nine hundred ninety-two million, two hundred thirty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2922110895323 5844221790646 8766332685969 11688443581292 17532665371938 26298998057907 35065330743876 52597996115814 105195992231628