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82341414328 = 23591012696421
BaseRepresentation
bin100110010101111101…
…1100100010110111000
321212112111220020122011
41030223323210112320
52322113400224303
6101454354135304
75643332321305
oct1145373442670
9255474806564
1082341414328
1131a14644348
1213b5bb81534
1379c324a494
143db1b080ac
15221dd2116d
hex132bee45b8

82341414328 has 64 divisors (see below), whose sum is σ = 159175692000. Its totient is φ = 39916992000.

The previous prime is 82341414307. The next prime is 82341414329.

82341414328 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82341414329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12820558 + ... + 12826978.

Almost surely, 282341414328 is an apocalyptic number.

It is an amenable number.

82341414328 is a deficient number, since it is larger than the sum of its proper divisors (76834277672).

82341414328 is a wasteful number, since it uses less digits than its factorization.

82341414328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856 (or 6852 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 82341414328 in words is "eighty-two billion, three hundred forty-one million, four hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 59 101 118 202 236 269 404 472 538 808 1076 2152 5959 6421 11918 12842 15871 23836 25684 27169 31742 47672 51368 54338 63484 108676 126968 217352 378839 648521 757678 1297042 1515356 1602971 1727249 2594084 3030712 3205942 3454498 5188168 6411884 6908996 12823768 13817992 38262739 76525478 101907691 153050956 174452149 203815382 306101912 348904298 407630764 697808596 815261528 1395617192 10292676791 20585353582 41170707164 82341414328