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11468596816 = 243126387917
BaseRepresentation
bin10101010111001010…
…01110011001010000
31002121021012002020001
422223211032121100
5141441430044231
65134003455344
7554126315215
oct125345163120
932537162201
1011468596816
1149557a6596
122280987554
13110a035b81
147ab20db0c
15471ca2b61
hex2ab94e650

11468596816 has 40 divisors (see below), whose sum is σ = 23024669184. Its totient is φ = 5528158080.

The previous prime is 11468596757. The next prime is 11468596817. The reversal of 11468596816 is 61869586411.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468596817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86490 + ... + 174406.

Almost surely, 211468596816 is an apocalyptic number.

11468596816 is a gapful number since it is divisible by the number (16) 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 11468596816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512334592).

11468596816 is an abundant number, since it is smaller than the sum of its proper divisors (11556072368).

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

11468596816 is a wasteful number, since it uses less digits than its factorization.

11468596816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88219 (or 88213 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 55.

The spelling of 11468596816 in words is "eleven billion, four hundred sixty-eight million, five hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 263 496 526 1052 2104 4208 8153 16306 32612 65224 87917 130448 175834 351668 703336 1406672 2725427 5450854 10901708 21803416 23122171 43606832 46244342 92488684 184977368 369954736 716787301 1433574602 2867149204 5734298408 11468596816