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82368412665 = 35711177953101
BaseRepresentation
bin100110010110110001…
…0100011101111111001
321212121101200220101120
41030231202203233321
52322142303201130
6101501200535453
75644110645540
oct1145542435771
9255541626346
1082368412665
1131a28904620
1213b69021589
1379c8a11126
143db5535157
1522213a5910
hex132d8a3bf9

82368412665 has 128 divisors (see below), whose sum is σ = 176179691520. Its totient is φ = 31809024000.

The previous prime is 82368412663. The next prime is 82368412691. The reversal of 82368412665 is 56621486328.

It is not a de Polignac number, because 82368412665 - 21 = 82368412663 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (82368412663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1524615 + ... + 1577715.

It is an arithmetic number, because the mean of its divisors is an integer number (1376403840).

Almost surely, 282368412665 is an apocalyptic number.

82368412665 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82368412665 is an abundant number, since it is smaller than the sum of its proper divisors (93811278855).

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

82368412665 is a wasteful number, since it uses less digits than its factorization.

82368412665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53223.

The product of its digits is 3317760, while the sum is 51.

The spelling of 82368412665 in words is "eighty-two billion, three hundred sixty-eight million, four hundred twelve thousand, six hundred sixty-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 55 77 79 85 105 119 165 187 231 237 255 357 385 395 553 561 595 869 935 1155 1185 1309 1343 1659 1785 2607 2765 2805 3927 4029 4345 6083 6545 6715 8295 9401 13035 14773 18249 19635 20145 28203 30415 44319 47005 53101 73865 91245 103411 141015 159303 221595 265505 310233 371707 517055 584111 796515 902717 1115121 1551165 1752333 1858535 2708151 2920555 4088777 4194979 4513585 5575605 6319019 8761665 9929887 12266331 12584937 13540755 18957057 20443885 20974895 29364853 29789661 31595095 46144769 49649435 61331655 62924685 69509209 71314643 88094559 94785285 138434307 146824265 148948305 208527627 213943929 230723845 323013383 347546045 356573215 440472795 499202501 692171535 784461073 969040149 1042638135 1069719645 1497607503 1615066915 2353383219 2496012505 3922305365 4845200745 5491227511 7488037515 11766916095 16473682533 27456137555 82368412665