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34738478080 = 210597113619
BaseRepresentation
bin100000010110100100…
…110001110000000000
310022122222120112022021
4200112210301300000
51032121022244310
623543022051224
72336565122515
oct402644616000
9108588515267
1034738478080
1113806a68819
126895a19b14
133377ca8a97
1419778b130c
15d84b225da
hex816931c00

34738478080 has 176 divisors, whose sum is σ = 85072992480. Its totient is φ = 13608419328.

The previous prime is 34738478063. The next prime is 34738478083. The reversal of 34738478080 is 8087483743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34738478083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56120011 + ... + 56120629.

Almost surely, 234738478080 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 34738478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42536496240).

34738478080 is an abundant number, since it is smaller than the sum of its proper divisors (50334514400).

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

34738478080 is a wasteful number, since it uses less digits than its factorization.

34738478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 34738478080 in words is "thirty-four billion, seven hundred thirty-eight million, four hundred seventy-eight thousand, eighty".