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71838019500 = 223531347103761
BaseRepresentation
bin100001011100111100…
…0010010111110101100
320212102111220111121220
41002321320102332230
52134111013111000
653000230023340
75122133043042
oct1027170227654
9225374814556
1071838019500
1128514764355
1211b0a4a7b50
136a0b189960
143696b88392
151d06b791a0
hex10b9e12fac

71838019500 has 384 divisors, whose sum is σ = 232616337408. Its totient is φ = 17116416000.

The previous prime is 71838019459. The next prime is 71838019537. The reversal of 71838019500 is 591083817.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 94399120 + ... + 94399880.

It is an arithmetic number, because the mean of its divisors is an integer number (605771712).

Almost surely, 271838019500 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 71838019500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116308168704).

71838019500 is an abundant number, since it is smaller than the sum of its proper divisors (160778317908).

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

71838019500 is a wasteful number, since it uses less digits than its factorization.

71838019500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 71838019500 in words is "seventy-one billion, eight hundred thirty-eight million, nineteen thousand, five hundred".