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83128838524385 = 5175631851793811
BaseRepresentation
bin10010111001101011110000…
…111001000000110111100001
3101220100001001200112110200112
4102321223300321000313201
541343440330130240020
6452444510004501105
723336601053554463
oct2271536071006741
9356301050473615
1083128838524385
112453a819201145
1293a6b139aa795
133750028a40464
1416756589b4133
1599258a0652c5
hex4b9af0e40de1

83128838524385 has 32 divisors (see below), whose sum is σ = 105816973041792. Its totient is φ = 62475911009280.

The previous prime is 83128838524357. The next prime is 83128838524441. The reversal of 83128838524385 is 58342583882138.

It is not a de Polignac number, because 83128838524385 - 210 = 83128838523361 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886084130 + ... + 886177940.

It is an arithmetic number, because the mean of its divisors is an integer number (3306780407556).

Almost surely, 283128838524385 is an apocalyptic number.

83128838524385 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83128838524385 is a deficient number, since it is larger than the sum of its proper divisors (22688134517407).

83128838524385 is a wasteful number, since it uses less digits than its factorization.

83128838524385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112913.

The product of its digits is 353894400, while the sum is 68.

The spelling of 83128838524385 in words is "eighty-three trillion, one hundred twenty-eight billion, eight hundred thirty-eight million, five hundred twenty-four thousand, three hundred eighty-five".

Divisors: 1 5 17 85 563 2815 9571 18517 47855 92585 93811 314789 469055 1573945 1594787 7973935 10425071 52125355 52815593 177226207 264077965 886131035 897865081 1737098287 4489325405 8685491435 29530670879 147653354395 977986335581 4889931677905 16625767704877 83128838524385