Search a number
-
+
100416620564 = 22131931088857
BaseRepresentation
bin101110110000101001…
…1000000100000010100
3100121012012120212012222
41131201103000200110
53121123123324224
6114044124401512
710153263122501
oct1354123004024
9317165525188
10100416620564
113964a623317
12175653a6298
139613c201a0
144c085104a8
15292aad2b5e
hex17614c0814

100416620564 has 12 divisors (see below), whose sum is σ = 189246708084. Its totient is φ = 46346132544.

The previous prime is 100416620539. The next prime is 100416620569. The reversal of 100416620564 is 465026614001.

It can be written as a sum of positive squares in 2 ways, for example, as 21394912900 + 79021707664 = 146270^2 + 281108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416620569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 965544377 + ... + 965544480.

It is an arithmetic number, because the mean of its divisors is an integer number (15770559007).

Almost surely, 2100416620564 is an apocalyptic number.

It is an amenable number.

100416620564 is a deficient number, since it is larger than the sum of its proper divisors (88830087520).

100416620564 is a wasteful number, since it uses less digits than its factorization.

100416620564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931088874 (or 1931088872 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 100416620564 in words is "one hundred billion, four hundred sixteen million, six hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 4 13 26 52 1931088857 3862177714 7724355428 25104155141 50208310282 100416620564