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11272330728 = 23322347144829
BaseRepresentation
bin10100111111110001…
…00001110111101000
31002002120212201202200
422133320201313220
5141041204040403
65102313100200
7546224141661
oct123770416750
932076781680
1011272330728
114864a33a0a
1222270b7660
1310a84882a9
1478d120368
1545e934ca3
hex29fe21de8

11272330728 has 96 divisors (see below), whose sum is σ = 32534611200. Its totient is φ = 3517582464.

The previous prime is 11272330717. The next prime is 11272330733. The reversal of 11272330728 is 82703327211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11272330692 and 11272330701.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5418 + ... + 150246.

It is an arithmetic number, because the mean of its divisors is an integer number (338902200).

Almost surely, 211272330728 is an apocalyptic number.

11272330728 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 11272330728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16267305600).

11272330728 is an abundant number, since it is smaller than the sum of its proper divisors (21262280472).

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

11272330728 is a wasteful number, since it uses less digits than its factorization.

11272330728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144911 (or 144904 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 11272330728 its reverse (82703327211), we get a palindrome (93975657939).

The spelling of 11272330728 in words is "eleven billion, two hundred seventy-two million, three hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 552 564 828 846 1081 1128 1656 1692 2162 3243 3384 4324 6486 8648 9729 12972 19458 25944 38916 77832 144829 289658 434487 579316 868974 1158632 1303461 1737948 2606922 3331067 3475896 5213844 6662134 6806963 9993201 10427688 13324268 13613926 19986402 20420889 26648536 27227852 29979603 39972804 40841778 54455704 59959206 61262667 79945608 81683556 119918412 122525334 156560149 163367112 239836824 245050668 313120298 469680447 490101336 626240596 939360894 1252481192 1409041341 1878721788 2818082682 3757443576 5636165364 11272330728