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82915733376 = 273373113619
BaseRepresentation
bin100110100111000101…
…0011010111110000000
321221000112120200021000
41031032022122332000
52324302411432001
6102031351532000
75663505051000
oct1151612327600
9257015520230
1082915733376
1132189851793
12140a038a000
137a85223c38
1440280c8000
152254469a86
hex134e29af80

82915733376 has 512 divisors, whose sum is σ = 288374400000. Its totient is φ = 23442628608.

The previous prime is 82915733359. The next prime is 82915733389. The reversal of 82915733376 is 67333751928.

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 63 ways as a sum of consecutive naturals, for example, 133950795 + ... + 133951413.

It is an arithmetic number, because the mean of its divisors is an integer number (563231250).

Almost surely, 282915733376 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 82915733376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144187200000).

82915733376 is an abundant number, since it is smaller than the sum of its proper divisors (205458666624).

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

82915733376 is a wasteful number, since it uses less digits than its factorization.

82915733376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 744 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 82915733376 in words is "eighty-two billion, nine hundred fifteen million, seven hundred thirty-three thousand, three hundred seventy-six".