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83125360216 = 23431675692543
BaseRepresentation
bin100110101101010101…
…0000101011001011000
321221120011000211020001
41031122222011121120
52330220043011331
6102104240542344
76001631621653
oct1153252053130
9257504024201
1083125360216
113228710a508
121413a6219b4
137ab979bca2
144047c9489a
152267a76561
hex135aa85658

83125360216 has 64 divisors (see below), whose sum is σ = 160784870400. Its totient is φ = 40266256128.

The previous prime is 83125360163. The next prime is 83125360217. The reversal of 83125360216 is 61206352138.

It is a super-2 number, since 2×831253602162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83125360217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32686641 + ... + 32689183.

It is an arithmetic number, because the mean of its divisors is an integer number (2512263600).

Almost surely, 283125360216 is an apocalyptic number.

83125360216 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

83125360216 is a deficient number, since it is larger than the sum of its proper divisors (77659510184).

83125360216 is a wasteful number, since it uses less digits than its factorization.

83125360216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 83125360216 in words is "eighty-three billion, one hundred twenty-five million, three hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 4 8 43 86 167 172 334 344 569 668 1138 1336 2276 2543 4552 5086 7181 10172 14362 20344 24467 28724 48934 57448 95023 97868 109349 190046 195736 218698 380092 424681 437396 760184 849362 874792 1446967 1698724 2893934 3397448 4085989 5787868 8171978 11575736 16343956 18261283 32687912 36522566 62219581 73045132 124439162 146090264 241643489 248878324 483286978 497756648 966573956 1933147912 10390670027 20781340054 41562680108 83125360216