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47260475136 = 2837731389
BaseRepresentation
bin101100000000111100…
…011001111100000000
311111222122220220000000
4230000330121330000
51233242140201021
633413340000000
73262105260540
oct540074317400
9144878826000
1047260475136
1119052340516
1291ab530000
1345c2327ab4
14240496d320
151369103b26
hexb00f19f00

47260475136 has 576 divisors, whose sum is σ = 167339827200. Its totient is φ = 13033820160.

The previous prime is 47260475123. The next prime is 47260475147. The reversal of 47260475136 is 63157406274.

47260475136 is a `hidden beast` number, since 4 + 7 + 2 + 604 + 7 + 5 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 47260475091 and 47260475100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121492030 + ... + 121492418.

Almost surely, 247260475136 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 47260475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83669913600).

47260475136 is an abundant number, since it is smaller than the sum of its proper divisors (120079352064).

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

47260475136 is an frugal number, since it uses more digits than its factorization.

47260475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 47260475136 in words is "forty-seven billion, two hundred sixty million, four hundred seventy-five thousand, one hundred thirty-six".