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11399097312 = 2532176593533
BaseRepresentation
bin10101001110111000…
…00110101111100000
31002102102102010211100
422213130012233200
5141321132103222
65123042114400
7552323504601
oct124734065740
932372363740
1011399097312
11491a547589
12226164ba00
1310c88110c5
147a1cbbda8
1546ab254ac
hex2a7706be0

11399097312 has 144 divisors (see below), whose sum is σ = 34384830480. Its totient is φ = 3569750016.

The previous prime is 11399097293. The next prime is 11399097313. The reversal of 11399097312 is 21379099311.

11399097312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11399097313) 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 23 ways as a sum of consecutive naturals, for example, 3224698 + ... + 3228230.

It is an arithmetic number, because the mean of its divisors is an integer number (238783545).

Almost surely, 211399097312 is an apocalyptic number.

11399097312 is a gapful number since it is divisible by the number (12) 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 11399097312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17192415240).

11399097312 is an abundant number, since it is smaller than the sum of its proper divisors (22985733168).

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

11399097312 is a wasteful number, since it uses less digits than its factorization.

11399097312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 11399097312 in words is "eleven billion, three hundred ninety-nine million, ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 659 816 1224 1318 1632 1977 2448 2636 3533 3954 4896 5272 5931 7066 7908 10544 10599 11203 11862 14132 15816 21088 21198 22406 23724 28264 31632 31797 33609 42396 44812 47448 56528 60061 63264 63594 67218 84792 89624 94896 100827 113056 120122 127188 134436 169584 179248 180183 189792 201654 240244 254376 268872 339168 358496 360366 403308 480488 508752 537744 540549 720732 806616 960976 1017504 1075488 1081098 1441464 1613232 1921952 2162196 2328247 2882928 3226464 4324392 4656494 5765856 6984741 8648784 9312988 13969482 17297568 18625976 20954223 27938964 37251952 39580199 41908446 55877928 74503904 79160398 83816892 111755856 118740597 158320796 167633784 223511712 237481194 316641592 335267568 356221791 474962388 633283184 670535136 712443582 949924776 1266566368 1424887164 1899849552 2849774328 3799699104 5699548656 11399097312