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11263243464 = 23321197271541
BaseRepresentation
bin10100111110101011…
…10111010011001000
31002001221210001101100
422133111313103020
5141031342242324
65101350221400
7546053663334
oct123725672310
932057701340
1011263243464
11485a897580
122224054860
1310a6626005
1478bc367c4
1545dc3c4c9
hex29f5774c8

11263243464 has 192 divisors, whose sum is σ = 33807271680. Its totient is φ = 3359232000.

The previous prime is 11263243463. The next prime is 11263243483. The reversal of 11263243464 is 46434236211.

11263243464 is a `hidden beast` number, since 1 + 12 + 632 + 4 + 3 + 4 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11263243463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20819034 + ... + 20819574.

It is an arithmetic number, because the mean of its divisors is an integer number (176079540).

Almost surely, 211263243464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11263243464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16903635840).

11263243464 is an abundant number, since it is smaller than the sum of its proper divisors (22544028216).

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

11263243464 is a wasteful number, since it uses less digits than its factorization.

11263243464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 925 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 11263243464 its reverse (46434236211), we get a palindrome (57697479675).

The spelling of 11263243464 in words is "eleven billion, two hundred sixty-three million, two hundred forty-three thousand, four hundred sixty-four".