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10911143268 = 22323773112213
BaseRepresentation
bin10100010100101101…
…01101010101100100
31001011102020111201100
422022112231111210
5134321223041033
65002411400100
7534250121214
oct121226552544
931142214640
1010911143268
11469a068483
122146153030
13104b6b5bbc
14757180244
1543cd8b513
hex28a5ad564

10911143268 has 72 divisors (see below), whose sum is σ = 28714664888. Its totient is φ = 3490242048.

The previous prime is 10911143267. The next prime is 10911143273. The reversal of 10911143268 is 86234111901.

10911143268 is a `hidden beast` number, since 109 + 111 + 432 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3202654464 + 7708488804 = 56592^2 + 87798^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10911143267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41130 + ... + 153342.

Almost surely, 210911143268 is an apocalyptic number.

10911143268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10911143268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14357332444).

10911143268 is an abundant number, since it is smaller than the sum of its proper divisors (17803521620).

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

10911143268 is a wasteful number, since it uses less digits than its factorization.

10911143268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112333 (or 112328 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10911143268 in words is "ten billion, nine hundred eleven million, one hundred forty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 111 146 148 219 222 292 333 438 444 657 666 876 1314 1332 2628 2701 5402 8103 10804 16206 24309 32412 48618 97236 112213 224426 336639 448852 673278 1009917 1346556 2019834 4039668 4151881 8191549 8303762 12455643 16383098 16607524 24574647 24911286 32766196 37366929 49149294 49822572 73723941 74733858 98298588 147447882 149467716 294895764 303087313 606174626 909261939 1212349252 1818523878 2727785817 3637047756 5455571634 10911143268