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47305639680 = 2835131376917
BaseRepresentation
bin101100000011101000…
…101100011100000000
311112002210220111002220
4230003220230130000
51233340220432210
633422032011040
73263164205565
oct540350543400
9145083814086
1047305639680
1119075889292
129202690a80
1345cb7ac290
14240a96886c
15136d075c70
hexb03a2c700

47305639680 has 288 divisors, whose sum is σ = 163915424064. Its totient is φ = 11557797888.

The previous prime is 47305639669. The next prime is 47305639681. The reversal of 47305639680 is 8693650374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47305639681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6835582 + ... + 6842498.

It is an arithmetic number, because the mean of its divisors is an integer number (569150778).

Almost surely, 247305639680 is an apocalyptic number.

47305639680 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 47305639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81957712032).

47305639680 is an abundant number, since it is smaller than the sum of its proper divisors (116609784384).

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

47305639680 is a wasteful number, since it uses less digits than its factorization.

47305639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 47305639680 in words is "forty-seven billion, three hundred five million, six hundred thirty-nine thousand, six hundred eighty".