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46847572249 = 101221432
BaseRepresentation
bin101011101000010101…
…010011100100011001
311110220212222020201111
4223220111103210121
51231420434302444
633304350020321
73245632536202
oct535025234431
9143825866644
1046847572249
1118960262465
1290b51a76a1
13455791956a
1423a5baa5a9
151342c42234
hexae8553919

46847572249 has 9 divisors (see below), whose sum is σ = 47338091679. Its totient is φ = 46362090600.

The previous prime is 46847572229. The next prime is 46847572307. The reversal of 46847572249 is 94227574864.

The square root of 46847572249 is 216443.

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., 45010592649 + 1836979600 = 212157^2 + 42860^2 .

It is not a de Polignac number, because 46847572249 - 221 = 46845475097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46847572193 and 46847572202.

It is not an unprimeable number, because it can be changed into a prime (46847572229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21859672 + ... + 21861814.

Almost surely, 246847572249 is an apocalyptic number.

46847572249 is the 216443-rd square number.

46847572249 is the 108222-nd centered octagonal number.

It is an amenable number.

46847572249 is a deficient number, since it is larger than the sum of its proper divisors (490519430).

46847572249 is an frugal number, since it uses more digits than its factorization.

46847572249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 2244 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 58.

The spelling of 46847572249 in words is "forty-six billion, eight hundred forty-seven million, five hundred seventy-two thousand, two hundred forty-nine".

Divisors: 1 101 2143 10201 216443 4592449 21860743 463837349 46847572249