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47027191680 = 2733571392797
BaseRepresentation
bin101011110011000010…
…011111111110000000
311111101101221212021000
4223303002133332000
51232302430113210
633334243532000
73253243351050
oct536302377600
9144341855230
1047027191680
1118a42695177
12914538a000
134585bb9151
1423c19a5560
1513538c2ac0
hexaf309ff80

47027191680 has 512 divisors, whose sum is σ = 191786112000. Its totient is φ = 10667925504.

The previous prime is 47027191657. The next prime is 47027191691. The reversal of 47027191680 is 8619172074.

It is a happy number.

47027191680 is a `hidden beast` number, since 470 + 2 + 7 + 19 + 168 + 0 = 666.

It is a super-2 number, since 2×470271916802 (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16812042 + ... + 16814838.

It is an arithmetic number, because the mean of its divisors is an integer number (374582250).

Almost surely, 247027191680 is an apocalyptic number.

47027191680 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 47027191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95893056000).

47027191680 is an abundant number, since it is smaller than the sum of its proper divisors (144758920320).

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

47027191680 is a wasteful number, since it uses less digits than its factorization.

47027191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 47027191680 in words is "forty-seven billion, twenty-seven million, one hundred ninety-one thousand, six hundred eighty".