Search a number
-
+
82359359604 = 223317101601739
BaseRepresentation
bin100110010110100000…
…0000001100001110100
321212120202122221221000
41030231000001201310
52322132444001404
6101500234523300
75643641002014
oct1145500014164
9255522587830
1082359359604
1131a23790955
1213b65b96530
1379c6b915a2
143db4259c44
1522206b8339
hex132d001874

82359359604 has 192 divisors, whose sum is σ = 229012358400. Its totient is φ = 25505280000.

The previous prime is 82359359573. The next prime is 82359359617. The reversal of 82359359604 is 40695395328.

82359359604 is a `hidden beast` number, since 8 + 23 + 5 + 9 + 3 + 5 + 9 + 604 = 666.

It is a super-2 number, since 2×823593596042 (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111446667 + ... + 111447405.

It is an arithmetic number, because the mean of its divisors is an integer number (1192772700).

Almost surely, 282359359604 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 82359359604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114506179200).

82359359604 is an abundant number, since it is smaller than the sum of its proper divisors (146652998796).

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

82359359604 is a wasteful number, since it uses less digits than its factorization.

82359359604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 82359359604 in words is "eighty-two billion, three hundred fifty-nine million, three hundred fifty-nine thousand, six hundred four".