Search a number
-
+
10634620161 = 311332396979
BaseRepresentation
bin10011110011101111…
…10110110100000001
31000110010220200022210
421321313312310001
5133234430321121
64515132452333
7524351531334
oct117167666401
930403820283
1010634620161
114567a69590
12208961a0a9
131006317c69
1472c55c61b
15423968876
hex279df6d01

10634620161 has 16 divisors (see below), whose sum is σ = 15473352960. Its totient is φ = 6443218320.

The previous prime is 10634620133. The next prime is 10634620229. The reversal of 10634620161 is 16102643601.

It is not a de Polignac number, because 10634620161 - 26 = 10634620097 is a prime.

It is a super-2 number, since 2×106346201612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10634620961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61170 + ... + 158148.

It is an arithmetic number, because the mean of its divisors is an integer number (967084560).

Almost surely, 210634620161 is an apocalyptic number.

10634620161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10634620161 is a deficient number, since it is larger than the sum of its proper divisors (4838732799).

10634620161 is a wasteful number, since it uses less digits than its factorization.

10634620161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100316.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10634620161 in words is "ten billion, six hundred thirty-four million, six hundred twenty thousand, one hundred sixty-one".

Divisors: 1 3 11 33 3323 9969 36553 96979 109659 290937 1066769 3200307 322261217 966783651 3544873387 10634620161