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47081502720 = 21136571753
BaseRepresentation
bin101011110110010001…
…101011100000000000
311111112012011011000000
4223312101223200000
51232410331041340
633343504000000
73254503112220
oct536621534000
9144465134000
1047081502720
1118a7030a92a
12915b600000
134594223865
1423c8ca2080
15135854ed30
hexaf646b800

47081502720 has 1344 divisors, whose sum is σ = 208824557760. Its totient is φ = 9937354752.

The previous prime is 47081502719. The next prime is 47081502763. The reversal of 47081502720 is 2720518074.

47081502720 is a `hidden beast` number, since 4 + 7 + 0 + 81 + 502 + 72 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 888330214 + ... + 888330266.

It is an arithmetic number, because the mean of its divisors is an integer number (155375415).

Almost surely, 247081502720 is an apocalyptic number.

47081502720 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 47081502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104412278880).

47081502720 is an abundant number, since it is smaller than the sum of its proper divisors (161743055040).

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

47081502720 is an equidigital number, since it uses as much as digits as its factorization.

47081502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 47081502720 in words is "forty-seven billion, eighty-one million, five hundred two thousand, seven hundred twenty".