Search a number
-
+
26300162132442 = 23211294580313851
BaseRepresentation
bin1011111101011011110111…
…10100100100100111011010
310110010021022112000021012100
411332231323310210213122
511421400213001214232
6131534043325224230
75353060351405662
oct576557364444732
9113107275007170
1026300162132442
11841a921975240
122b49193102076
13118a12cc2b693
1466cd129151a2
153091da856c7c
hex17eb7bd249da

26300162132442 has 48 divisors (see below), whose sum is σ = 64307606482080. Its totient is φ = 7694927268000.

The previous prime is 26300162132383. The next prime is 26300162132459. The reversal of 26300162132442 is 24423126100362.

26300162132442 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 0 + 1 + 621 + 3 + 24 + 4 + 2 = 666.

It is a super-2 number, since 2×263001621324422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26300162132397 and 26300162132406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2290151184 + ... + 2290162667.

It is an arithmetic number, because the mean of its divisors is an integer number (1339741801710).

Almost surely, 226300162132442 is an apocalyptic number.

26300162132442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

26300162132442 is an abundant number, since it is smaller than the sum of its proper divisors (38007444349638).

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

26300162132442 is a wasteful number, since it uses less digits than its factorization.

26300162132442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580313899 (or 4580313896 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 26300162132442 in words is "twenty-six trillion, three hundred billion, one hundred sixty-two million, one hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 4580313851 9160627702 13740941553 27481883106 41222824659 50383452361 82445649318 100766904722 132829101679 151150357083 265658203358 302300714166 398487305037 453451071249 796974610074 906902142498 1195461915111 1461120118469 2390923830222 2922240236938 4383360355407 8766720710814 13150081066221 26300162132442