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47476487881 = 109219992
BaseRepresentation
bin101100001101110100…
…011011011011001001
311112112201101110210001
4230031310123123021
51234212440103011
633451013523001
73300340326364
oct541564333311
9145481343701
1047476487881
1119153270049
12924b943461
134627cca6a4
14242551d0db
15137d0727c1
hexb0dd1b6c9

47476487881 has 9 divisors (see below), whose sum is σ = 47940029991. Its totient is φ = 47017391544.

The previous prime is 47476487869. The next prime is 47476487897. The reversal of 47476487881 is 18878467474.

The square root of 47476487881 is 217891.

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

It can be written as a sum of positive squares in only one way, i.e., 33090884281 + 14385603600 = 181909^2 + 119940^2 .

It is not a de Polignac number, because 47476487881 - 27 = 47476487753 is a prime.

It is a super-2 number, since 2×474764878812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47476487381) 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 8 ways as a sum of consecutive naturals, for example, 23749120 + ... + 23751118.

It is an arithmetic number, because the mean of its divisors is an integer number (5326669999).

Almost surely, 247476487881 is an apocalyptic number.

47476487881 is the 217891-st square number.

47476487881 is the 108946-th centered octagonal number.

It is an amenable number.

47476487881 is a deficient number, since it is larger than the sum of its proper divisors (463542110).

47476487881 is an frugal number, since it uses more digits than its factorization.

47476487881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 2108 counting only the distinct ones).

The product of its digits is 67436544, while the sum is 64.

Multiplying 47476487881 by its sum of digits (64), we get a square (3038495224384 = 17431282).

The spelling of 47476487881 in words is "forty-seven billion, four hundred seventy-six million, four hundred eighty-seven thousand, eight hundred eighty-one".

Divisors: 1 109 1999 11881 217891 3996001 23750119 435564109 47476487881