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11103426264 = 23372194797109
BaseRepresentation
bin10100101011101000…
…01101011011011000
31001122211001111101210
422111310031123120
5140214434120024
65033440543120
7542103365100
oct122564153330
931584044353
1011103426264
11478865a547
12219a621aa0
13107c49a818
14774914200
1544ebbe129
hex295d0d6d8

11103426264 has 384 divisors, whose sum is σ = 35392896000. Its totient is φ = 2884460544.

The previous prime is 11103426263. The next prime is 11103426289. The reversal of 11103426264 is 46262430111.

11103426264 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 (11103426263) 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 95 ways as a sum of consecutive naturals, for example, 101866242 + ... + 101866350.

It is an arithmetic number, because the mean of its divisors is an integer number (92169000).

Almost surely, 211103426264 is an apocalyptic number.

11103426264 is a gapful number since it is divisible by the number (14) 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 11103426264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448000).

11103426264 is an abundant number, since it is smaller than the sum of its proper divisors (24289469736).

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

11103426264 is a wasteful number, since it uses less digits than its factorization.

11103426264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11103426264 its reverse (46262430111), we get a palindrome (57365856375).

The spelling of 11103426264 in words is "eleven billion, one hundred three million, four hundred twenty-six thousand, two hundred sixty-four".