Search a number
-
+
100239354688 = 2611294909843
BaseRepresentation
bin101110101011010111…
…0110010101101000000
3100120201212000211011011
41131112232302231000
53120242233322223
6114014353130304
710146011312404
oct1352656625500
9316655024134
10100239354688
11395695588a0
1217515b59994
1395b6295935
144bccb69104
15291a26980d
hex1756bb2b40

100239354688 has 56 divisors (see below), whose sum is σ = 224478067680. Its totient is φ = 43992184320.

The previous prime is 100239354637. The next prime is 100239354731. The reversal of 100239354688 is 886453932001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2434506 + ... + 2475337.

Almost surely, 2100239354688 is an apocalyptic number.

It is an amenable number.

100239354688 is an abundant number, since it is smaller than the sum of its proper divisors (124238712992).

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

100239354688 is a wasteful number, since it uses less digits than its factorization.

100239354688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909895 (or 4909885 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 100239354688 in words is "one hundred billion, two hundred thirty-nine million, three hundred fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2552 5104 10208 20416 4909843 9819686 19639372 39278744 54008273 78557488 108016546 142385447 157114976 216033092 284770894 314229952 432066184 569541788 864132368 1139083576 1566239917 1728264736 2278167152 3132479834 3456529472 4556334304 6264959668 9112668608 12529919336 25059838672 50119677344 100239354688