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11453315232 = 2534119714771
BaseRepresentation
bin10101010101010101…
…11011100010100000
31002120012102200211110
422222222323202200
5141424022041412
65132300143320
7553552400412
oct125252734240
932505380743
1011453315232
114948109287
122277837b40
131106b15308
147a91929b2
15470784d3c
hex2aaabb8a0

11453315232 has 96 divisors (see below), whose sum is σ = 30956675904. Its totient is φ = 3705497600.

The previous prime is 11453315231. The next prime is 11453315243. The reversal of 11453315232 is 23251335411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11453315232.

It is not an unprimeable number, because it can be changed into a prime (11453315231) 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, 768007 + ... + 782777.

It is an arithmetic number, because the mean of its divisors is an integer number (322465374).

Almost surely, 211453315232 is an apocalyptic number.

11453315232 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 11453315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478337952).

11453315232 is an abundant number, since it is smaller than the sum of its proper divisors (19503360672).

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

11453315232 is a wasteful number, since it uses less digits than its factorization.

11453315232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022 (or 15014 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The spelling of 11453315232 in words is "eleven billion, four hundred fifty-three million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 197 246 328 394 492 591 656 788 984 1182 1312 1576 1968 2364 3152 3936 4728 6304 8077 9456 14771 16154 18912 24231 29542 32308 44313 48462 59084 64616 88626 96924 118168 129232 177252 193848 236336 258464 354504 387696 472672 605611 709008 775392 1211222 1418016 1816833 2422444 2909887 3633666 4844888 5819774 7267332 8729661 9689776 11639548 14534664 17459322 19379552 23279096 29069328 34918644 46558192 58138656 69837288 93116384 119305367 139674576 238610734 279349152 357916101 477221468 715832202 954442936 1431664404 1908885872 2863328808 3817771744 5726657616 11453315232