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27742983336 = 23321372812549
BaseRepresentation
bin11001110101100111…
…000101010010101000
32122121110022120120100
4121311213011102220
5423304200431321
620424524225400
72001332316225
oct316547052250
978543276510
1027742983336
1110847211002
12546309b260
1328018bc693
1414b27a894c
15ac58e8326
hex6759c54a8

27742983336 has 48 divisors (see below), whose sum is σ = 75685720500. Its totient is φ = 9180156672.

The previous prime is 27742983319. The next prime is 27742983343. The reversal of 27742983336 is 63338924772.

It can be written as a sum of positive squares in 2 ways, for example, as 27672322500 + 70660836 = 166350^2 + 8406^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1396411 + ... + 1416138.

Almost surely, 227742983336 is an apocalyptic number.

It is an amenable number.

27742983336 is an abundant number, since it is smaller than the sum of its proper divisors (47942737164).

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

27742983336 is a wasteful number, since it uses less digits than its factorization.

27742983336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812698 (or 2812691 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 27742983336 in words is "twenty-seven billion, seven hundred forty-two million, nine hundred eighty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 2812549 5625098 8437647 11250196 16875294 22500392 25312941 33750588 50625882 67501176 101251764 202503528 385319213 770638426 1155957639 1541276852 2311915278 3082553704 3467872917 4623830556 6935745834 9247661112 13871491668 27742983336