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47036344680 = 233351329115523
BaseRepresentation
bin101011110011100101…
…011010100101101000
311111102001011212211000
4223303211122211220
51232312301012210
633335212035000
73253414222143
oct536345324550
9144361155730
1047036344680
1118a47876a36
129148462a60
134587a72320
1423c2ca905a
1513545ceac0
hexaf395a968

47036344680 has 256 divisors, whose sum is σ = 174672288000. Its totient is φ = 11178832896.

The previous prime is 47036344673. The next prime is 47036344681. The reversal of 47036344680 is 8644363074.

47036344680 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 634 + 4 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47036344681) by changing a digit.

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, 349399 + ... + 464921.

It is an arithmetic number, because the mean of its divisors is an integer number (682313625).

Almost surely, 247036344680 is an apocalyptic number.

47036344680 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 47036344680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87336144000).

47036344680 is an abundant number, since it is smaller than the sum of its proper divisors (127635943320).

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

47036344680 is a wasteful number, since it uses less digits than its factorization.

47036344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115585 (or 115575 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 47036344680 in words is "forty-seven billion, thirty-six million, three hundred forty-four thousand, six hundred eighty".