Search a number
-
+
100503713792 = 211197249107
BaseRepresentation
bin101110110011001111…
…1001111100000000000
3100121102021110122200002
41131212133033200000
53121312422320132
6114100515215132
710155401320556
oct1354637174000
9317367418602
10100503713792
11396947a9799
121758a5a74a8
139628c95041
144c15d01bd6
152933588262
hex17667cf800

100503713792 has 48 divisors (see below), whose sum is σ = 201979257480. Its totient is φ = 49996570624.

The previous prime is 100503713789. The next prime is 100503713803. The reversal of 100503713792 is 297317305001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278903 + ... + 528009.

Almost surely, 2100503713792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100503713792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100989628740).

100503713792 is an abundant number, since it is smaller than the sum of its proper divisors (101475543688).

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

100503713792 is an equidigital number, since it uses as much as digits as its factorization.

100503713792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249326 (or 249306 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 38.

The spelling of 100503713792 in words is "one hundred billion, five hundred three million, seven hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1024 1576 2048 3152 6304 12608 25216 50432 100864 201728 249107 403456 498214 996428 1992856 3985712 7971424 15942848 31885696 49074079 63771392 98148158 127542784 196296316 255085568 392592632 510171136 785185264 1570370528 3140741056 6281482112 12562964224 25125928448 50251856896 100503713792