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47684110968 = 233413172331467
BaseRepresentation
bin101100011010001100…
…011100101001111000
311120002012001211010000
4230122030130221320
51240124113022333
633523351553000
73305441153454
oct543214345170
9146065054100
1047684110968
111924a48a37a
1292a938b760
13465c0236a0
142444d27664
1513913d5713
hexb1a31ca78

47684110968 has 640 divisors, whose sum is σ = 164393349120. Its totient is φ = 12755128320.

The previous prime is 47684110913. The next prime is 47684110973. The reversal of 47684110968 is 86901148674.

47684110968 is a `hidden beast` number, since 476 + 8 + 4 + 1 + 109 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 102107071 + ... + 102107537.

It is an arithmetic number, because the mean of its divisors is an integer number (256864608).

Almost surely, 247684110968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47684110968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82196674560).

47684110968 is an abundant number, since it is smaller than the sum of its proper divisors (116709238152).

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

47684110968 is a wasteful number, since it uses less digits than its factorization.

47684110968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 47684110968 in words is "forty-seven billion, six hundred eighty-four million, one hundred ten thousand, nine hundred sixty-eight".