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83320046064 = 24372381117
BaseRepresentation
bin100110110011001000…
…0110000000111110000
321222001201100220000000
41031212100300013300
52331114412433224
6102135433430000
76006514464123
oct1154620600760
9258051326000
1083320046064
1132376aa2902
121419386b300
137b1ac15508
144065a923ba
152279bd10c9
hex13664301f0

83320046064 has 80 divisors (see below), whose sum is σ = 242112078240. Its totient is φ = 27773337024.

The previous prime is 83320046053. The next prime is 83320046071. The reversal of 83320046064 is 46064002338.

It is a happy number.

It is a super-2 number, since 2×833200460642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155567 + ... + 1225550.

It is an arithmetic number, because the mean of its divisors is an integer number (3026400978).

Almost surely, 283320046064 is an apocalyptic number.

It is an amenable number.

83320046064 is an abundant number, since it is smaller than the sum of its proper divisors (158792032176).

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

83320046064 is an equidigital number, since it uses as much as digits as its factorization.

83320046064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381146 (or 2381122 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 83320046064 in words is "eighty-three billion, three hundred twenty million, forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 8748 11664 17496 34992 2381117 4762234 7143351 9524468 14286702 19048936 21430053 28573404 38097872 42860106 57146808 64290159 85720212 114293616 128580318 171440424 192870477 257160636 342880848 385740954 514321272 578611431 771481908 1028642544 1157222862 1542963816 1735834293 2314445724 3085927632 3471668586 4628891448 5207502879 6943337172 9257782896 10415005758 13886674344 20830011516 27773348688 41660023032 83320046064