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10040225535 = 335238233929
BaseRepresentation
bin10010101100111000…
…11010111011111111
3221220201110022012000
421112130122323333
5131030244204120
64340140513343
7503543336364
oct112634327377
927821408160
1010040225535
11429249a05a
121b4254b853
13c40132872
146b363446b
153db6a6990
hex25671aeff

10040225535 has 64 divisors (see below), whose sum is σ = 18652723200. Its totient is φ = 5114444544.

The previous prime is 10040225527. The next prime is 10040225557. The reversal of 10040225535 is 53552204001.

It is a happy number.

10040225535 is a `hidden beast` number, since 1 + 0 + 0 + 402 + 255 + 3 + 5 = 666.

It is not a de Polignac number, because 10040225535 - 23 = 10040225527 is a prime.

It is a super-2 number, since 2×100402255352 (a number of 21 digits) contains 22 as substring.

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 = 10040225499 and 10040225508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2553451 + ... + 2557379.

It is an arithmetic number, because the mean of its divisors is an integer number (291448800).

Almost surely, 210040225535 is an apocalyptic number.

10040225535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10040225535 is a deficient number, since it is larger than the sum of its proper divisors (8612497665).

10040225535 is a wasteful number, since it uses less digits than its factorization.

10040225535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 10040225535 its reverse (53552204001), we get a palindrome (63592429536).

The spelling of 10040225535 in words is "ten billion, forty million, two hundred twenty-five thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 823 1035 2469 3105 3929 4115 7407 11787 12345 18929 19645 22221 35361 37035 56787 58935 90367 94645 106083 111105 170361 176805 271101 283935 451835 511083 530415 813303 851805 1355505 2439909 2555415 3233567 4066515 9700701 12199545 16167835 29102103 48503505 74372041 87306309 145510515 223116123 371860205 436531545 669348369 1115580615 2008045107 3346741845 10040225535