Search a number
-
+
10900500432 = 2431178319273
BaseRepresentation
bin10100010011011100…
…00110111111010000
31001010200012210111020
422021232012333100
5134311012003212
65001351315440
7534060503433
oct121156067720
931120183436
1010900500432
114694059348
12214267bb80
13104942a873
147559ad81a
1543be87d8c
hex289b86fd0

10900500432 has 40 divisors (see below), whose sum is σ = 28163477184. Its totient is φ = 3633003264.

The previous prime is 10900500397. The next prime is 10900500451. The reversal of 10900500432 is 23400500901.

10900500432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 555948 + ... + 575220.

Almost surely, 210900500432 is an apocalyptic number.

10900500432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10900500432 is an abundant number, since it is smaller than the sum of its proper divisors (17262976752).

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

10900500432 is a wasteful number, since it uses less digits than its factorization.

10900500432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31067 (or 31061 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 10900500432 in words is "ten billion, nine hundred million, five hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 11783 19273 23566 35349 38546 47132 57819 70698 77092 94264 115638 141396 154184 188528 231276 282792 308368 462552 565584 925104 227093759 454187518 681281277 908375036 1362562554 1816750072 2725125108 3633500144 5450250216 10900500432