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82842910974 = 2331534127981
BaseRepresentation
bin100110100100111010…
…0101000000011111110
321220211110112220201000
41031021310220003332
52324130241122344
6102020231031130
75661632060535
oct1151164500376
9256743486630
1082842910974
113215173318a
121407bb0b4a6
137a73107865
14401c56d31c
15224cd82a69
hex1349d280fe

82842910974 has 16 divisors (see below), whose sum is σ = 184095357840. Its totient is φ = 27614303640.

The previous prime is 82842910967. The next prime is 82842910979. The reversal of 82842910974 is 47901924828.

82842910974 is a `hidden beast` number, since 8 + 284 + 291 + 0 + 9 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 1534127981 = 82842910974 / (8 + 2 + 8 + 4 + 2 + 9 + 1 + 0 + 9 + 7 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 82842910974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82842910979) 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, 767063937 + ... + 767064044.

It is an arithmetic number, because the mean of its divisors is an integer number (11505959865).

Almost surely, 282842910974 is an apocalyptic number.

82842910974 is an abundant number, since it is smaller than the sum of its proper divisors (101252446866).

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

82842910974 is a wasteful number, since it uses less digits than its factorization.

82842910974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534127992 (or 1534127986 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 82842910974 in words is "eighty-two billion, eight hundred forty-two million, nine hundred ten thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 1534127981 3068255962 4602383943 9204767886 13807151829 27614303658 41421455487 82842910974