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83416759056 = 2432881657529
BaseRepresentation
bin100110110110000000…
…1101011101100010000
321222022110100102021200
41031230001223230100
52331314142242211
6102153210351200
76012100516161
oct1155401535420
9258273312250
1083416759056
11324166497a4
121420012b500
137b34c77b37
144074869768
152283436b56
hex136c06bb10

83416759056 has 60 divisors (see below), whose sum is σ = 233716408380. Its totient is φ = 27773982720.

The previous prime is 83416759039. The next prime is 83416759087. The reversal of 83416759056 is 65095761438.

83416759056 is a `hidden beast` number, since 8 + 3 + 41 + 6 + 7 + 590 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20846739456 + 62570019600 = 144384^2 + 250140^2 .

It is a super-2 number, since 2×834167590562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83416758993 and 83416759011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201901 + ... + 455628.

It is an arithmetic number, because the mean of its divisors is an integer number (3895273473).

Almost surely, 283416759056 is an apocalyptic number.

It is an amenable number.

83416759056 is an abundant number, since it is smaller than the sum of its proper divisors (150299649324).

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

83416759056 is a wasteful number, since it uses less digits than its factorization.

83416759056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658424 (or 658415 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 83416759056 in words is "eighty-three billion, four hundred sixteen million, seven hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 881 1762 2643 3524 5286 7048 7929 10572 14096 15858 21144 31716 42288 63432 126864 657529 1315058 1972587 2630116 3945174 5260232 5917761 7890348 10520464 11835522 15780696 23671044 31561392 47342088 94684176 579283049 1158566098 1737849147 2317132196 3475698294 4634264392 5213547441 6951396588 9268528784 10427094882 13902793176 20854189764 27805586352 41708379528 83416759056