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19785672296 = 2313310612
BaseRepresentation
bin10010011011010100…
…010110011001101000
31220001220020021220122
4102123110112121220
5311010113003141
613031151342412
71300210303535
oct223324263150
956056207818
1019785672296
118433550495
123a02221a08
131b34175000
14d59a53d8c
157ac03164b
hex49b516668

19785672296 has 48 divisors (see below), whose sum is σ = 40226153100. Its totient is φ = 9123241920.

The previous prime is 19785672271. The next prime is 19785672299. The reversal of 19785672296 is 69227658791.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 20124196 + 19765548100 = 4486^2 + 140590^2 .

It is not an unprimeable number, because it can be changed into a prime (19785672299) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18647606 + ... + 18648666.

Almost surely, 219785672296 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 19785672296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20113076550).

19785672296 is an abundant number, since it is smaller than the sum of its proper divisors (20440480804).

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

19785672296 is an frugal number, since it uses more digits than its factorization.

19785672296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 1076 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 62.

The spelling of 19785672296 in words is "nineteen billion, seven hundred eighty-five million, six hundred seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1061 1352 2122 2197 4244 4394 8488 8788 13793 17576 27586 55172 110344 179309 358618 717236 1125721 1434472 2251442 2331017 4502884 4662034 9005768 9324068 14634373 18648136 29268746 58537492 117074984 190246849 380493698 760987396 1521974792 2473209037 4946418074 9892836148 19785672296