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34681461473 = 1737059121
BaseRepresentation
bin100000010011001011…
…010001101011100001
310022112000021210020002
4200103023101223201
51032011423231343
623533224025345
72335303362401
oct402313215341
9108460253202
1034681461473
111378786535a
12687a902255
133369234a49
1419700ac801
15d7eb0d8b8
hex8132d1ae1

34681461473 has 8 divisors (see below), whose sum is σ = 36848616840. Its totient is φ = 32641370880.

The previous prime is 34681461461. The next prime is 34681461487. The reversal of 34681461473 is 37416418643.

It can be written as a sum of positive squares in 4 ways, for example, as 9940688209 + 24740773264 = 99703^2 + 157292^2 .

It is not a de Polignac number, because 34681461473 - 24 = 34681461457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34681461413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3524648 + ... + 3534473.

It is an arithmetic number, because the mean of its divisors is an integer number (4606077105).

Almost surely, 234681461473 is an apocalyptic number.

It is an amenable number.

34681461473 is a deficient number, since it is larger than the sum of its proper divisors (2167155367).

34681461473 is an frugal number, since it uses more digits than its factorization.

34681461473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059172 (or 7059138 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 47.

The spelling of 34681461473 in words is "thirty-four billion, six hundred eighty-one million, four hundred sixty-one thousand, four hundred seventy-three".

Divisors: 1 17 289 4913 7059121 120005057 2040085969 34681461473