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11216514344 = 23734678753
BaseRepresentation
bin10100111001000111…
…00110110100101000
31001221200211222002012
422130203212310220
5140432411424334
65053000455052
7544645541000
oct123443466450
931850758065
1011216514344
114836480272
12221047a488
131099a44649
14785951000
15459aab9ce
hex29c8e6d28

11216514344 has 64 divisors (see below), whose sum is σ = 24581232000. Its totient is φ = 4796236032.

The previous prime is 11216514307. The next prime is 11216514347. The reversal of 11216514344 is 44341561211.

It is a self number, because there is not a number n which added to its sum of digits gives 11216514344.

It is not an unprimeable number, because it can be changed into a prime (11216514347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1277072 + ... + 1285824.

It is an arithmetic number, because the mean of its divisors is an integer number (384081750).

Almost surely, 211216514344 is an apocalyptic number.

11216514344 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 11216514344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12290616000).

11216514344 is an abundant number, since it is smaller than the sum of its proper divisors (13364717656).

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

11216514344 is an equidigital number, since it uses as much as digits as its factorization.

11216514344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9229 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The spelling of 11216514344 in words is "eleven billion, two hundred sixteen million, five hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 467 686 934 1372 1868 2744 3269 3736 6538 8753 13076 17506 22883 26152 35012 45766 61271 70024 91532 122542 160181 183064 245084 320362 428897 490168 640724 857794 1281448 1715588 3002279 3431176 4087651 6004558 8175302 12009116 16350604 24018232 28613557 32701208 57227114 114454228 200294899 228908456 400589798 801179596 1402064293 1602359192 2804128586 5608257172 11216514344