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20185873929 = 3213236432
BaseRepresentation
bin10010110011001010…
…111111111000001001
31221002210021122100100
4102303022333320021
5312320040431204
613135005200013
71313140045254
oct226312777011
957083248310
1020185873929
118619443941
123ab4260009
131b99057300
14d96c6c09b
157d2234a39
hex4b32bfe09

20185873929 has 27 divisors (see below), whose sum is σ = 31581446247. Its totient is φ = 12418666416.

The previous prime is 20185873927. The next prime is 20185873979. The reversal of 20185873929 is 92937858102.

The square root of 20185873929 is 142077.

It is a perfect power (a square), and thus also a powerful number.

20185873929 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 587 + 39 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2986076025 + 17199797904 = 54645^2 + 131148^2 .

It is not a de Polignac number, because 20185873929 - 21 = 20185873927 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20185873927) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 5539182 + ... + 5542824.

Almost surely, 220185873929 is an apocalyptic number.

20185873929 is the 142077-th square number.

20185873929 is the 71039-th centered octagonal number.

It is an amenable number.

20185873929 is a deficient number, since it is larger than the sum of its proper divisors (11395572318).

20185873929 is an frugal number, since it uses more digits than its factorization.

20185873929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 20185873929 in words is "twenty billion, one hundred eighty-five million, eight hundred seventy-three thousand, nine hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 3643 10929 32787 47359 142077 426231 615667 1847001 5541003 13271449 39814347 119443041 172528837 517586511 1552759533 2242874881 6728624643 20185873929