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26435000430 = 235510878601
BaseRepresentation
bin11000100111101001…
…100001100001101110
32112020022010011100000
4120213221201201232
5413114330003210
620051041445130
71624040540046
oct304751414156
975208104300
1026435000430
11102359610a3
1251590407a6
13265391acb7
1413cabaa726
15a4ab7cac0
hex627a6186e

26435000430 has 48 divisors (see below), whose sum is σ = 71276600304. Its totient is φ = 7049332800.

The previous prime is 26435000309. The next prime is 26435000437. The reversal of 26435000430 is 3400053462.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26435000394 and 26435000403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26435000437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5436871 + ... + 5441730.

It is an arithmetic number, because the mean of its divisors is an integer number (1484929173).

Almost surely, 226435000430 is an apocalyptic number.

26435000430 is an abundant number, since it is smaller than the sum of its proper divisors (44841599874).

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

26435000430 is a wasteful number, since it uses less digits than its factorization.

26435000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10878623 (or 10878611 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 26435000430 its reverse (3400053462), we get a palindrome (29835053892).

The spelling of 26435000430 in words is "twenty-six billion, four hundred thirty-five million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 10878601 21757202 32635803 54393005 65271606 97907409 108786010 163179015 195814818 293722227 326358030 489537045 587444454 881166681 979074090 1468611135 1762333362 2643500043 2937222270 4405833405 5287000086 8811666810 13217500215 26435000430