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47475398880 = 25325713229312
BaseRepresentation
bin101100001101110000…
…010001100011100000
311112112122100010221200
4230031300101203200
51234212200231010
633450534321200
73300325142430
oct541560214340
9145478303850
1047475398880
1119152696948
12924b4b9200
134627a08b00
1424253182c0
15137ce09cc0
hexb0dc118e0

47475398880 has 1296 divisors, whose sum is σ = 214312119840. Its totient is φ = 9359400960.

The previous prime is 47475398869. The next prime is 47475398903. The reversal of 47475398880 is 8889357474.

47475398880 is a `hidden beast` number, since 4 + 7 + 475 + 3 + 9 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1531464465 + ... + 1531464495.

It is an arithmetic number, because the mean of its divisors is an integer number (165364290).

Almost surely, 247475398880 is an apocalyptic number.

47475398880 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 47475398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107156059920).

47475398880 is an abundant number, since it is smaller than the sum of its proper divisors (166836720960).

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

47475398880 is a wasteful number, since it uses less digits than its factorization.

47475398880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 47475398880 in words is "forty-seven billion, four hundred seventy-five million, three hundred ninety-eight thousand, eight hundred eighty".