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47130246306 = 233111331475971
BaseRepresentation
bin101011111001001011…
…100111110010100010
311111122120212120122000
4223321023213302202
51233010320340211
633352404424430
73255634324623
oct537113476242
9144576776560
1047130246306
1118a95882690
1291739a8116
1345a135c110
1423d154da4a
15135c97c656
hexaf92e7ca2

47130246306 has 512 divisors, whose sum is σ = 133772083200. Its totient is φ = 12102048000.

The previous prime is 47130246271. The next prime is 47130246341. The reversal of 47130246306 is 60364203174.

It is a happy number.

47130246306 is a `hidden beast` number, since 4 + 7 + 1 + 302 + 46 + 306 = 666.

It is an interprime number because it is at equal distance from previous prime (47130246271) and next prime (47130246341).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 663806251 + ... + 663806321.

It is an arithmetic number, because the mean of its divisors is an integer number (261273600).

Almost surely, 247130246306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47130246306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66886041600).

47130246306 is an abundant number, since it is smaller than the sum of its proper divisors (86641836894).

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

47130246306 is a wasteful number, since it uses less digits than its factorization.

47130246306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 47130246306 in words is "forty-seven billion, one hundred thirty million, two hundred forty-six thousand, three hundred six".