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46232310289 = 11417772
BaseRepresentation
bin101011000011101010…
…010001001000010001
311102100000020200222111
4223003222101020101
51224140432412124
633123330505321
73224452103434
oct530352211021
9142300220874
1046232310289
1118674a30000
128b63135241
13448a309029
1423481ad81b
151308c0c494
hexac3a91211

46232310289 has 15 divisors (see below), whose sum is σ = 50883860235. Its totient is φ = 42005721120.

The previous prime is 46232310259. The next prime is 46232310317. The reversal of 46232310289 is 98201323264.

The square root of 46232310289 is 215017.

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

It can be written as a sum of positive squares in only one way, i.e., 23428894225 + 22803416064 = 153065^2 + 151008^2 .

It is not a de Polignac number, because 46232310289 - 213 = 46232302097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46232310239) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 26016169 + ... + 26017945.

It is an arithmetic number, because the mean of its divisors is an integer number (3392257349).

Almost surely, 246232310289 is an apocalyptic number.

46232310289 is the 215017-th square number.

46232310289 is the 107509-th centered octagonal number.

It is an amenable number.

46232310289 is a deficient number, since it is larger than the sum of its proper divisors (4651549946).

46232310289 is an frugal number, since it uses more digits than its factorization.

46232310289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 46232310289 in words is "forty-six billion, two hundred thirty-two million, three hundred ten thousand, two hundred eighty-nine".

Divisors: 1 11 121 1331 1777 14641 19547 215017 2365187 3157729 26017057 34735019 382085209 4202937299 46232310289