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46884807841 = 1724722712
BaseRepresentation
bin101011101010100011…
…010110010010100001
311111000111001000100111
4223222203112102201
51232010002322331
633312200051321
73246564201604
oct535243262241
9144014030314
1046884807841
111897a285083
129105763b41
134562555a61
1423aab0033b
151346149db1
hexaea8d64a1

46884807841 has 27 divisors (see below), whose sum is σ = 51075663987. Its totient is φ = 43028642880.

The previous prime is 46884807839. The next prime is 46884807881. The reversal of 46884807841 is 14870848864.

The square root of 46884807841 is 216529.

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., 36502013025 + 10382794816 = 191055^2 + 101896^2 .

It is not a de Polignac number, because 46884807841 - 21 = 46884807839 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46884807881) 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 26 ways as a sum of consecutive naturals, for example, 173006536 + ... + 173006806.

Almost surely, 246884807841 is an apocalyptic number.

46884807841 is the 216529-th square number.

46884807841 is the 108265-th centered octagonal number.

It is an amenable number.

46884807841 is a deficient number, since it is larger than the sum of its proper divisors (4190856146).

46884807841 is an frugal number, since it uses more digits than its factorization.

46884807841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 58.

The spelling of 46884807841 in words is "forty-six billion, eight hundred eighty-four million, eight hundred seven thousand, eight hundred forty-one".

Divisors: 1 17 47 271 289 799 2209 4607 12737 13583 37553 73441 78319 216529 598639 638401 1248497 3451727 3680993 10176863 21224449 58679359 162231169 173006671 997549103 2757929873 46884807841