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47353418229924 = 22361943532
BaseRepresentation
bin10101100010001010100111…
…01011000010100010100100
320012122221110010122021000000
422301011103223002202210
522201314300031324144
6244413505433021300
712655112563514142
oct1261052353024244
9205587403567000
1047353418229924
11140a75210a9474
1253894abb54830
13205653c9cb061
14b99cbc138592
15571b875c8769
hex2b1153ac28a4

47353418229924 has 315 divisors, whose sum is σ = 131520959644193. Its totient is φ = 14911349232384.

The previous prime is 47353418229913. The next prime is 47353418229959. The reversal of 47353418229924 is 42992281435374.

It is a happy number.

The square root of 47353418229924 is 6881382.

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

47353418229924 is a `hidden beast` number, since 4 + 7 + 3 + 534 + 1 + 8 + 2 + 2 + 9 + 92 + 4 = 666.

47353418229924 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19238311822500 + 28115106407424 = 4386150^2 + 5302368^2 .

It is a super-2 number, since 2×473534182299242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 104 ways as a sum of consecutive naturals, for example, 134145660532 + ... + 134145660884.

Almost surely, 247353418229924 is an apocalyptic number.

47353418229924 is the 6881382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47353418229924

47353418229924 is an abundant number, since it is smaller than the sum of its proper divisors (84167541414269).

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

47353418229924 is an frugal number, since it uses more digits than its factorization.

47353418229924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 377 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 47353418229924 in words is "forty-seven trillion, three hundred fifty-three billion, four hundred eighteen million, two hundred twenty-nine thousand, nine hundred twenty-four".