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83010782101506 = 2371976447192893
BaseRepresentation
bin10010110111111101110100…
…001011100000000000000010
3101212220202100010112210202220
4102313331310023200000002
541340022040204222011
6452314343221551510
723325221364535620
oct2267756413400002
9355822303483686
1083010782101506
11244a4747456306
129388066b75596
133741b6340672c
14166da5983a510
1598e47aa29506
hex4b7f742e0002

83010782101506 has 16 divisors (see below), whose sum is σ = 189738930517824. Its totient is φ = 23717366314704.

The previous prime is 83010782101459. The next prime is 83010782101517. The reversal of 83010782101506 is 60510128701038.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 1976447192893 = 83010782101506 / (8 + 3 + 0 + 1 + 0 + 7 + 8 + 2 + 1 + 0 + 1 + 5 + 0 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988223596405 + ... + 988223596488.

It is an arithmetic number, because the mean of its divisors is an integer number (11858683157364).

Almost surely, 283010782101506 is an apocalyptic number.

83010782101506 is an abundant number, since it is smaller than the sum of its proper divisors (106728148416318).

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

83010782101506 is a wasteful number, since it uses less digits than its factorization.

83010782101506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976447192905.

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 83010782101506 in words is "eighty-three trillion, ten billion, seven hundred eighty-two million, one hundred one thousand, five hundred six".

Divisors: 1 2 3 6 7 14 21 42 1976447192893 3952894385786 5929341578679 11858683157358 13835130350251 27670260700502 41505391050753 83010782101506