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11452243712 = 28713593829
BaseRepresentation
bin10101010101001101…
…10101111100000000
31002120010102020222112
422222212311330000
5141423233244322
65132221154452
7553540315430
oct125246657400
932503366875
1011452243712
114947547228
1222773bba28
13110682b690
147a8d942c0
154706225e2
hex2aa9b5f00

11452243712 has 144 divisors (see below), whose sum is σ = 28216520640. Its totient is φ = 4517462016.

The previous prime is 11452243643. The next prime is 11452243717. The reversal of 11452243712 is 21734225411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452243717) 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, 13814114 + ... + 13814942.

It is an arithmetic number, because the mean of its divisors is an integer number (195948060).

Almost surely, 211452243712 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 11452243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108260320).

11452243712 is an abundant number, since it is smaller than the sum of its proper divisors (16764276928).

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

11452243712 is an equidigital number, since it uses as much as digits as its factorization.

11452243712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1444 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The spelling of 11452243712 in words is "eleven billion, four hundred fifty-two million, two hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 593 728 829 832 896 1186 1456 1658 1664 1792 2372 2912 3316 3328 4151 4744 5803 5824 6632 7709 8302 9488 10777 11606 11648 13264 15418 16604 18976 21554 23212 23296 26528 30836 33208 37952 43108 46424 53056 53963 61672 66416 75439 75904 86216 92848 106112 107926 123344 132832 150878 151808 172432 185696 212224 215852 246688 265664 301756 344864 371392 431704 491597 493376 531328 603512 689728 742784 863408 983194 986752 1062656 1207024 1379456 1485568 1726816 1966388 1973504 2414048 2758912 3441179 3453632 3932776 4828096 6390761 6882358 6907264 7865552 9656192 12781522 13764716 13814528 15731104 19312384 25563044 27529432 31462208 44735327 51126088 55058864 62924416 89470654 102252176 110117728 125848832 178941308 204504352 220235456 357882616 409008704 440470912 715765232 818017408 880941824 1431530464 1636034816 2863060928 5726121856 11452243712