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47067612480 = 2632573293153
BaseRepresentation
bin101011110101011100…
…101100010101000000
311111111020000110011200
4223311130230111000
51232343302044410
633342250141200
73254244051000
oct536534542500
9144436013150
1047067612480
1118a63492999
129156a21800
13459139c395
1423c70c8000
1513572093c0
hexaf572c540

47067612480 has 1344 divisors, whose sum is σ = 205410816000. Its totient is φ = 9862594560.

The previous prime is 47067612439. The next prime is 47067612491. The reversal of 47067612480 is 8421676074.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 888068134 + ... + 888068186.

Almost surely, 247067612480 is an apocalyptic number.

47067612480 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 47067612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102705408000).

47067612480 is an abundant number, since it is smaller than the sum of its proper divisors (158343203520).

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

47067612480 is a wasteful number, since it uses less digits than its factorization.

47067612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 47067612480 in words is "forty-seven billion, sixty-seven million, six hundred twelve thousand, four hundred eighty".