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47397242880 = 2113351313187
BaseRepresentation
bin101100001001000110…
…001000100000000000
311112100012021102002000
4230021012020200000
51234032143233010
633435103224000
73265355626401
oct541106104000
9145305242060
1047397242880
1119112565109
1292292a8000
134614772b60
142418bb19a8
15137611c7c0
hexb09188800

47397242880 has 384 divisors, whose sum is σ = 181456329600. Its totient is φ = 11666128896.

The previous prime is 47397242861. The next prime is 47397242897. The reversal of 47397242880 is 8824279374.

It is a happy number.

47397242880 is a `hidden beast` number, since 4 + 7 + 397 + 242 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 3587647 + ... + 3600833.

It is an arithmetic number, because the mean of its divisors is an integer number (472542525).

Almost surely, 247397242880 is an apocalyptic number.

47397242880 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 47397242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90728164800).

47397242880 is an abundant number, since it is smaller than the sum of its proper divisors (134059086720).

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

47397242880 is a wasteful number, since it uses less digits than its factorization.

47397242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13210 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 47397242880 in words is "forty-seven billion, three hundred ninety-seven million, two hundred forty-two thousand, eight hundred eighty".