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10891742460 = 2235237892567
BaseRepresentation
bin10100010010011001…
…01100110011111100
31001010001201211210220
422021030230303330
5134301241224320
65000435501340
7533623166124
oct121114546374
931101654726
1010891742460
11468a117355
12213b757850
131047682431
1475476dc84
1543b307e40
hex28932ccfc

10891742460 has 48 divisors (see below), whose sum is σ = 31822834176. Its totient is φ = 2778183232.

The previous prime is 10891742443. The next prime is 10891742467. The reversal of 10891742460 is 6424719801.

10891742460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10891742467) 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, 3944904 + ... + 3947663.

It is an arithmetic number, because the mean of its divisors is an integer number (662975712).

Almost surely, 210891742460 is an apocalyptic number.

10891742460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10891742460 is an abundant number, since it is smaller than the sum of its proper divisors (20931091716).

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

10891742460 is a wasteful number, since it uses less digits than its factorization.

10891742460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892602 (or 7892600 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10891742460 in words is "ten billion, eight hundred ninety-one million, seven hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 7892567 15785134 23677701 31570268 39462835 47355402 78925670 94710804 118388505 157851340 181529041 236777010 363058082 473554020 544587123 726116164 907645205 1089174246 1815290410 2178348492 2722935615 3630580820 5445871230 10891742460