Search a number
-
+
47583909216 = 253355073969
BaseRepresentation
bin101100010100001110…
…001101010101100000
311112211012112001011000
4230110032031111200
51234422440043331
633505412152000
73303113361204
oct542416152540
9145735461130
1047583909216
11191a8970308
12927b908600
13464433c0cc
1424358c2b04
1513876e10e6
hexb1438d560

47583909216 has 48 divisors (see below), whose sum is σ = 138786404400. Its totient is φ = 15861302784.

The previous prime is 47583909199. The next prime is 47583909221. The reversal of 47583909216 is 61290938574.

47583909216 is a `hidden beast` number, since 47 + 583 + 9 + 0 + 9 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27536121 + ... + 27537848.

It is an arithmetic number, because the mean of its divisors is an integer number (2891383425).

It is a 1-persistent number, because it is pandigital, but 2⋅47583909216 = 95167818432 is not.

Almost surely, 247583909216 is an apocalyptic number.

It is an amenable number.

47583909216 is an abundant number, since it is smaller than the sum of its proper divisors (91202495184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47583909216 is a wasteful number, since it uses less digits than its factorization.

47583909216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55073988 (or 55073974 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 47583909216 in words is "forty-seven billion, five hundred eighty-three million, nine hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 55073969 110147938 165221907 220295876 330443814 440591752 495665721 660887628 881183504 991331442 1321775256 1486997163 1762367008 1982662884 2643550512 2973994326 3965325768 5287101024 5947988652 7930651536 11895977304 15861303072 23791954608 47583909216