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10740836682 = 2367993251
BaseRepresentation
bin10100000000011010…
…00010100101001010
31000201112210001000000
422000031002211022
5133444123233212
64533445223430
7530111414442
oct120015024512
930645701000
1010740836682
114611a16634
1220b9101b76
131022327184
1473c6cb122
1542ce4a1dc
hex28034294a

10740836682 has 56 divisors (see below), whose sum is σ = 24461864640. Its totient is φ = 3534921000.

The previous prime is 10740836681. The next prime is 10740836731. The reversal of 10740836682 is 28663804701.

10740836682 is a `hidden beast` number, since 107 + 408 + 3 + 66 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (10740836681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 68557 + ... + 161807.

Almost surely, 210740836682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10740836682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12230932320).

10740836682 is an abundant number, since it is smaller than the sum of its proper divisors (13721027958).

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

10740836682 is an frugal number, since it uses more digits than its factorization.

10740836682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93350 (or 93335 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10740836682 in words is "ten billion, seven hundred forty million, eight hundred thirty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 243 474 486 711 729 1422 1458 2133 4266 6399 12798 19197 38394 57591 93251 115182 186502 279753 559506 839259 1678518 2517777 5035554 7366829 7553331 14733658 15106662 22100487 22659993 44200974 45319986 66301461 67979979 132602922 135959958 198904383 397808766 596713149 1193426298 1790139447 3580278894 5370418341 10740836682