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47422099296 = 2535112133877
BaseRepresentation
bin101100001010100100…
…111100111101100000
311112101221001020200000
4230022210330331200
51234110024134141
633441352100000
73266110123155
oct541244747540
9145357036600
1047422099296
11191255a2100
129235694600
1346199668b0
14241c20222c
1513783cc5b6
hexb0a93cf60

47422099296 has 432 divisors, whose sum is σ = 165588211152. Its totient is φ = 13261501440.

The previous prime is 47422099273. The next prime is 47422099303. The reversal of 47422099296 is 69299022474.

47422099296 is a `hidden beast` number, since 47 + 4 + 220 + 99 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×474220992963 (a number of 33 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12229710 + ... + 12233586.

Almost surely, 247422099296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47422099296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82794105576).

47422099296 is an abundant number, since it is smaller than the sum of its proper divisors (118166111856).

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

47422099296 is a wasteful number, since it uses less digits than its factorization.

47422099296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 47422099296 in words is "forty-seven billion, four hundred twenty-two million, ninety-nine thousand, two hundred ninety-six".