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47927956692005 = 5133754773638573
BaseRepresentation
bin10101110010111000110001…
…10101010101110000100101
320021200212102201010011200022
422321130120311111300211
522240222423403121010
6245533444354124525
713044452306045165
oct1271343065256045
9207625381104608
1047927956692005
11142a9150089745
125460913880745
1320987826157a0
14bb9a22a125a5
15581ab1ea6d55
hex2b9718d55c25

47927956692005 has 32 divisors (see below), whose sum is σ = 63623289923424. Its totient is φ = 34430089430016.

The previous prime is 47927956691981. The next prime is 47927956692013. The reversal of 47927956692005 is 50029665972974.

It is a happy number.

47927956692005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 69230022+1.

It can be written as a sum of positive squares in 16 ways, for example, as 1 + 47927956692004 = 1^2 + 6923002^2 .

It is not a de Polignac number, because 47927956692005 - 28 = 47927956691749 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47927956692005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11352899 + ... + 14991471.

It is an arithmetic number, because the mean of its divisors is an integer number (1988227810107).

Almost surely, 247927956692005 is an apocalyptic number.

It is an amenable number.

47927956692005 is a deficient number, since it is larger than the sum of its proper divisors (15695333231419).

47927956692005 is a wasteful number, since it uses less digits than its factorization.

47927956692005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644105.

The product of its (nonzero) digits is 514382400, while the sum is 71.

The spelling of 47927956692005 in words is "forty-seven trillion, nine hundred twenty-seven billion, nine hundred fifty-six million, six hundred ninety-two thousand, five".

Divisors: 1 5 13 37 65 185 481 2405 5477 27385 71201 202649 356005 1013245 2634437 3638573 13172185 18192865 47301449 134627201 236507245 673136005 1750153613 8750768065 19928464321 99642321605 259070036173 737353179877 1295350180865 3686765899385 9585591338401 47927956692005