Search a number
-
+
10119783024 = 2432135405867
BaseRepresentation
bin10010110110010111…
…11010001001110000
3222010021011020112200
421123023322021300
5131211131024044
64352102023200
7505530510411
oct113313721160
928107136480
1010119783024
11432339884a
121b65117b00
13c537696c0
146c0023808
153e366e369
hex25b2fa270

10119783024 has 60 divisors (see below), whose sum is σ = 30499907256. Its totient is φ = 3113778816.

The previous prime is 10119783007. The next prime is 10119783053. The reversal of 10119783024 is 42038791101.

It is a happy number.

10119783024 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10119783024.

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 11 ways as a sum of consecutive naturals, for example, 2701062 + ... + 2704805.

Almost surely, 210119783024 is an apocalyptic number.

It is an amenable number.

10119783024 is an abundant number, since it is smaller than the sum of its proper divisors (20380124232).

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

10119783024 is a wasteful number, since it uses less digits than its factorization.

10119783024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405894 (or 5405885 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10119783024 in words is "ten billion, one hundred nineteen million, seven hundred eighty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5405867 10811734 16217601 21623468 32435202 43246936 48652803 64870404 70276271 86493872 97305606 129740808 140552542 194611212 210828813 259481616 281105084 389222424 421657626 562210168 632486439 778444848 843315252 1124420336 1264972878 1686630504 2529945756 3373261008 5059891512 10119783024