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47079886441 = 7213922232
BaseRepresentation
bin101011110110001011…
…100000111001101001
311111112002010000212211
4223312023200321221
51232404422331231
633343405205121
73254453301100
oct536613407151
9144462100784
1047079886441
1118a6a406565
12915ab607a1
134593aa8c93
1423c89a1037
151358330eb1
hexaf62e0e69

47079886441 has 27 divisors (see below), whose sum is σ = 55411713981. Its totient is φ = 39884211864.

The previous prime is 47079886439. The next prime is 47079886499. The reversal of 47079886441 is 14468897074.

It is a happy number.

The square root of 47079886441 is 216979.

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

It is not a de Polignac number, because 47079886441 - 21 = 47079886439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47079886141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 211120456 + ... + 211120678.

It is an arithmetic number, because the mean of its divisors is an integer number (2052285703).

Almost surely, 247079886441 is an apocalyptic number.

47079886441 is the 216979-th square number.

47079886441 is the 108490-th centered octagonal number.

It is an amenable number.

47079886441 is a deficient number, since it is larger than the sum of its proper divisors (8331827540).

47079886441 is an frugal number, since it uses more digits than its factorization.

47079886441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 47079886441 in words is "forty-seven billion, seventy-nine million, eight hundred eighty-six thousand, four hundred forty-one".

Divisors: 1 7 49 139 223 973 1561 6811 10927 19321 30997 49729 135247 216979 348103 946729 1518853 2436721 4308583 6912331 30160081 48386317 211120567 338704219 960814009 6725698063 47079886441