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47046772266720 = 2535179476088211
BaseRepresentation
bin10101011001001111011100…
…01001100001011011100000
320011120121221110011022122120
422230213232021201123200
522131303242200013340
6244020553325504240
712624005606031462
oct1254475611413340
9204517843138576
1047046772266720
1113a9947348a6a6
125339b90a12080
132033651033c55
14b8910c4b8132
15568bdb7354d0
hex2ac9ee2616e0

47046772266720 has 192 divisors, whose sum is σ = 157080545346816. Its totient is φ = 11795346759680.

The previous prime is 47046772266691. The next prime is 47046772266773. The reversal of 47046772266720 is 2766227764074.

It is a super-2 number, since 2×470467722667202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4683415 + ... + 10771625.

It is an arithmetic number, because the mean of its divisors is an integer number (818127840348).

Almost surely, 247046772266720 is an apocalyptic number.

47046772266720 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 47046772266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78540272673408).

47046772266720 is an abundant number, since it is smaller than the sum of its proper divisors (110033773080096).

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

47046772266720 is a wasteful number, since it uses less digits than its factorization.

47046772266720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089193 (or 6089185 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 60.

The spelling of 47046772266720 in words is "forty-seven trillion, forty-six billion, seven hundred seventy-two million, two hundred sixty-six thousand, seven hundred twenty".