Search a number
-
+
10033264440 = 2332527870179
BaseRepresentation
bin10010101100000011…
…10111011100111000
3221220020100122100200
421112001313130320
5131022003430230
64335331402200
7503430224553
oct112601673470
927806318320
1010033264440
114289575091
121b40153360
13c3b866284
146b274169a
153dac7e160
hex256077738

10033264440 has 48 divisors (see below), whose sum is σ = 32608110600. Its totient is φ = 2675537088.

The previous prime is 10033264403. The next prime is 10033264441. The reversal of 10033264440 is 4446233001.

10033264440 is a `hidden beast` number, since 10 + 0 + 3 + 3 + 2 + 644 + 4 + 0 = 666.

10033264440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033264441) 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 11 ways as a sum of consecutive naturals, for example, 13934730 + ... + 13935449.

Almost surely, 210033264440 is an apocalyptic number.

10033264440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033264440 is an abundant number, since it is smaller than the sum of its proper divisors (22574846160).

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

10033264440 is a wasteful number, since it uses less digits than its factorization.

10033264440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27870196 (or 27870189 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10033264440 its reverse (4446233001), we get a palindrome (14479497441).

The spelling of 10033264440 in words is "ten billion, thirty-three million, two hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27870179 55740358 83610537 111480716 139350895 167221074 222961432 250831611 278701790 334442148 418052685 501663222 557403580 668884296 836105370 1003326444 1114807160 1254158055 1672210740 2006652888 2508316110 3344421480 5016632220 10033264440