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46320939729 = 32717412
BaseRepresentation
bin101011001000111100…
…010111001011010001
311102120012000112201100
4223020330113023101
51224331130032404
633140214255013
73226606330341
oct531074271321
9142505015640
1046320939729
111870aa65679
128b88957469
1344a279b19c
142355c80d21
1513118b7d39
hexac8f172d1

46320939729 has 9 divisors (see below), whose sum is σ = 66908956699. Its totient is φ = 30880196040.

The previous prime is 46320939727. The next prime is 46320939761. The reversal of 46320939729 is 92793902364.

The square root of 46320939729 is 215223.

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

46320939729 is a `hidden beast` number, since 46 + 3 + 209 + 397 + 2 + 9 = 666.

46320939729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29540328129 + 16780611600 = 171873^2 + 129540^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 46320939729 - 21 = 46320939727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46320939727) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 609799 + ... + 681539.

Almost surely, 246320939729 is an apocalyptic number.

46320939729 is the 215223-rd square number.

46320939729 is the 107612-nd centered octagonal number.

It is an amenable number.

46320939729 is a deficient number, since it is larger than the sum of its proper divisors (20588016970).

46320939729 is an frugal number, since it uses more digits than its factorization.

46320939729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143488 (or 71744 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

It can be divided in two parts, 46320 and 939729, that added together give a square (986049 = 9932).

The spelling of 46320939729 in words is "forty-six billion, three hundred twenty million, nine hundred thirty-nine thousand, seven hundred twenty-nine".

Divisors: 1 3 9 71741 215223 645669 5146771081 15440313243 46320939729