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47228206823681 = 1329253469494237
BaseRepresentation
bin10101011110100001011000…
…11111011011100100000001
320012012222020221021210002112
422233100230133123210001
522142241331421324211
6244240201054025105
712643060664232422
oct1257205437334401
9205188227253075
1047228206823681
1114059408573744
125369186aa8195
1320477a6c36170
14b93c00a1d649
1556d7a9d5c88b
hex2af42c7db901

47228206823681 has 16 divisors (see below), whose sum is σ = 52615292461200. Its totient is φ = 42091731510528.

The previous prime is 47228206823659. The next prime is 47228206823713. The reversal of 47228206823681 is 18632860282274.

47228206823681 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 8 ways, for example, as 6509565418225 + 40718641405456 = 2551385^2 + 6381116^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47228206823681 is a prime.

It is a super-2 number, since 2×472282068236812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 47228206823681.

It is not an unprimeable number, because it can be changed into a prime (47228206823641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95310695 + ... + 95804931.

It is an arithmetic number, because the mean of its divisors is an integer number (3288455778825).

Almost surely, 247228206823681 is an apocalyptic number.

It is an amenable number.

47228206823681 is a deficient number, since it is larger than the sum of its proper divisors (5387085637519).

47228206823681 is a wasteful number, since it uses less digits than its factorization.

47228206823681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747748.

The product of its (nonzero) digits is 24772608, while the sum is 59.

The spelling of 47228206823681 in words is "forty-seven trillion, two hundred twenty-eight billion, two hundred six million, eight hundred twenty-three thousand, six hundred eighty-one".

Divisors: 1 13 29 377 253469 494237 3295097 6425081 7350601 14332873 95557813 186327349 125273758153 1628558855989 3632938986437 47228206823681