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47440087861320 = 233357114390714627
BaseRepresentation
bin10101100100101100000011…
…00101011100100001001000
320012222020011021211201021000
422302112001211130201020
522204224244443030240
6244521401524015000
712664301413313220
oct1262260145344110
9205866137751230
1047440087861320
1114130256923310
1253a2259531460
13206177286730b
14ba01809d3080
1557405b3a4430
hex2b258195c848

47440087861320 has 1024 divisors, whose sum is σ = 201974811033600. Its totient is φ = 9617158978560.

The previous prime is 47440087861223. The next prime is 47440087861337. The reversal of 47440087861320 is 2316878004474.

47440087861320 is a `hidden beast` number, since 4 + 74 + 400 + 87 + 8 + 61 + 32 + 0 = 666.

It is a super-2 number, since 2×474400878613202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3243315847 + ... + 3243330473.

It is an arithmetic number, because the mean of its divisors is an integer number (197241026400).

Almost surely, 247440087861320 is an apocalyptic number.

47440087861320 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 47440087861320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100987405516800).

47440087861320 is an abundant number, since it is smaller than the sum of its proper divisors (154534723172280).

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

47440087861320 is a wasteful number, since it uses less digits than its factorization.

47440087861320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15615 (or 15605 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 47440087861320 in words is "forty-seven trillion, four hundred forty billion, eighty-seven million, eight hundred sixty-one thousand, three hundred twenty".