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82430473644 = 22323376794467
BaseRepresentation
bin100110011000100111…
…1010011010110101100
321212202201110221001100
41030301033103112230
52322304200124034
6101511255043100
75645463315411
oct1146117232654
9255681427040
1082430473644
1131a5a942992
1213b85970490
137a088301bc
143dbd88c108
152226a64099
hex13313d35ac

82430473644 has 36 divisors (see below), whose sum is σ = 208984246744. Its totient is φ = 27395286912.

The previous prime is 82430473583. The next prime is 82430473661. The reversal of 82430473644 is 44637403428.

82430473644 is a `hidden beast` number, since 8 + 243 + 0 + 47 + 364 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82430473644.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3385102 + ... + 3409365.

Almost surely, 282430473644 is an apocalyptic number.

It is an amenable number.

82430473644 is an abundant number, since it is smaller than the sum of its proper divisors (126553773100).

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

82430473644 is a wasteful number, since it uses less digits than its factorization.

82430473644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794814 (or 6794809 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 82430473644 in words is "eighty-two billion, four hundred thirty million, four hundred seventy-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 1011 1348 2022 3033 4044 6066 12132 6794467 13588934 20383401 27177868 40766802 61150203 81533604 122300406 244600812 2289735379 4579470758 6869206137 9158941516 13738412274 20607618411 27476824548 41215236822 82430473644