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82378306692 = 22341123167783
BaseRepresentation
bin100110010111000100…
…0010011010010000100
321212122002022120110000
41030232020103102010
52322202321303232
6101502153001300
75644261024233
oct1145610232204
9255562276400
1082378306692
1131a33452100
1213b703b3230
1379caa96696
143db698cb1a
1522221ac27c
hex132e213484

82378306692 has 180 divisors, whose sum is σ = 244349932288. Its totient is φ = 24157504800.

The previous prime is 82378306691. The next prime is 82378306697. The reversal of 82378306692 is 29660387328.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (82378306691) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1181433 + ... + 1249215.

Almost surely, 282378306692 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 82378306692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122174966144).

82378306692 is an abundant number, since it is smaller than the sum of its proper divisors (161971625596).

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

82378306692 is a wasteful number, since it uses less digits than its factorization.

82378306692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67852 (or 67830 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 82378306692 in words is "eighty-two billion, three hundred seventy-eight million, three hundred six thousand, six hundred ninety-two".