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82384623006 = 2371961538643
BaseRepresentation
bin100110010111010000…
…0011001010110011110
321212122112012110210120
41030232200121112132
52322210430414011
6101502540215410
75644365512160
oct1145640312636
9255575173716
1082384623006
1131a36a766a4
1213b7253a566
1379cc19864a
143db7754930
152222a08a06
hex132e81959e

82384623006 has 16 divisors (see below), whose sum is σ = 188307709824. Its totient is φ = 23538463704.

The previous prime is 82384622989. The next prime is 82384623007. The reversal of 82384623006 is 60032648328.

It is a super-2 number, since 2×823846230062 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 1961538643 = 82384623006 / (8 + 2 + 3 + 8 + 4 + 6 + 2 + 3 + 0 + 0 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82384623007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 980769280 + ... + 980769363.

It is an arithmetic number, because the mean of its divisors is an integer number (11769231864).

Almost surely, 282384623006 is an apocalyptic number.

82384623006 is an abundant number, since it is smaller than the sum of its proper divisors (105923086818).

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

82384623006 is a wasteful number, since it uses less digits than its factorization.

82384623006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961538655.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 82384623006 in words is "eighty-two billion, three hundred eighty-four million, six hundred twenty-three thousand, six".

Divisors: 1 2 3 6 7 14 21 42 1961538643 3923077286 5884615929 11769231858 13730770501 27461541002 41192311503 82384623006