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47085794640 = 24335431573229
BaseRepresentation
bin101011110110100010…
…000011010101010000
311111112111020012102000
4223312202003111100
51232412430412030
633344135554000
73254554436133
oct536642032520
9144474205360
1047085794640
1118a72781475
129160b2b900
134595097261
1423c969c21a
151358aeb860
hexaf6883550

47085794640 has 320 divisors, whose sum is σ = 167064902400. Its totient is φ = 12182317056.

The previous prime is 47085794629. The next prime is 47085794669. The reversal of 47085794640 is 4649758074.

47085794640 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 579 + 4 + 64 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 14580546 + ... + 14583774.

It is an arithmetic number, because the mean of its divisors is an integer number (522077820).

Almost surely, 247085794640 is an apocalyptic number.

47085794640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47085794640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83532451200).

47085794640 is an abundant number, since it is smaller than the sum of its proper divisors (119979107760).

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

47085794640 is a wasteful number, since it uses less digits than its factorization.

47085794640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 47085794640 in words is "forty-seven billion, eighty-five million, seven hundred ninety-four thousand, six hundred forty".