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82352174445 = 335613199497
BaseRepresentation
bin100110010110010010…
…0100111010101101101
321212120021010220202000
41030230210213111231
52322124124040240
6101455420522513
75643522635022
oct1145444472555
9255507126660
1082352174445
1131a1a723602
1213b636b0439
1379c5547008
143db3309549
15221ec49430
hex132c92756d

82352174445 has 32 divisors (see below), whose sum is σ = 146429216640. Its totient is φ = 43913554560.

The previous prime is 82352174423. The next prime is 82352174477. The reversal of 82352174445 is 54447125328.

82352174445 is a `hidden beast` number, since 8 + 2 + 35 + 2 + 174 + 445 = 666.

It is not a de Polignac number, because 82352174445 - 25 = 82352174413 is a prime.

It is a super-2 number, since 2×823521744452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82352174445.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 777937 + ... + 877433.

It is an arithmetic number, because the mean of its divisors is an integer number (4575913020).

Almost surely, 282352174445 is an apocalyptic number.

It is an amenable number.

82352174445 is a deficient number, since it is larger than the sum of its proper divisors (64077042195).

82352174445 is a wasteful number, since it uses less digits than its factorization.

82352174445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105642 (or 105636 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 82352174445 in words is "eighty-two billion, three hundred fifty-two million, one hundred seventy-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 6131 18393 30655 55179 91965 99497 165537 275895 298491 497485 827685 895473 1492455 2686419 4477365 13432095 610016107 1830048321 3050080535 5490144963 9150241605 16470434889 27450724815 82352174445