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47394927360 = 2834511291433
BaseRepresentation
bin101100001000111101…
…010011001100000000
311112100000220202210000
4230020331103030000
51234031100133420
633434541440000
73265330143534
oct541075231400
9145300822700
1047394927360
1119111223460
129228570000
134614141c21
14241876bbc4
151375d11690
hexb08f53300

47394927360 has 720 divisors, whose sum is σ = 191517812640. Its totient is φ = 11085742080.

The previous prime is 47394927329. The next prime is 47394927383. The reversal of 47394927360 is 6372949374.

47394927360 is a `hidden beast` number, since 47 + 394 + 92 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 47394927297 and 47394927306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33073204 + ... + 33074636.

It is an arithmetic number, because the mean of its divisors is an integer number (265996962).

Almost surely, 247394927360 is an apocalyptic number.

47394927360 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 47394927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95758906320).

47394927360 is an abundant number, since it is smaller than the sum of its proper divisors (144122885280).

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

47394927360 is a wasteful number, since it uses less digits than its factorization.

47394927360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 47394927360 in words is "forty-seven billion, three hundred ninety-four million, nine hundred twenty-seven thousand, three hundred sixty".