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11445663353264 = 2471571013364237
BaseRepresentation
bin1010011010001110011010…
…1100101100100110110000
31111112012020221212201222022
42212203212230230212300
53000011204304301024
640202022023531012
72260631131163210
oct246434654544660
944465227781868
1011445663353264
113713095636498
12134a2b55b9a68
1365042422144a
142b7d8a122240
1514cadbd7535e
hexa68e6b2c9b0

11445663353264 has 80 divisors (see below), whose sum is σ = 25508309560128. Its totient is φ = 4873483570176.

The previous prime is 11445663353261. The next prime is 11445663353281. The reversal of 11445663353264 is 46235336654411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11445663353261) 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, 178146554 + ... + 178210790.

Almost surely, 211445663353264 is an apocalyptic number.

11445663353264 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 11445663353264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754154780064).

11445663353264 is an abundant number, since it is smaller than the sum of its proper divisors (14062646206864).

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

11445663353264 is a wasteful number, since it uses less digits than its factorization.

11445663353264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74542 (or 74536 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 53.

The spelling of 11445663353264 in words is "eleven trillion, four hundred forty-five billion, six hundred sixty-three million, three hundred fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 628 1099 1256 2198 2512 4396 8792 10133 17584 20266 40532 64237 70931 81064 128474 141862 162128 256948 283724 449659 513896 567448 899318 1027792 1134896 1590881 1798636 3181762 3597272 6363524 7194544 10085209 11136167 12727048 20170418 22272334 25454096 40340836 44544668 70596463 80681672 89089336 141192926 161363344 178178672 282385852 564771704 650913521 1129543408 1301827042 2603654084 4556394647 5207308168 9112789294 10414616336 18225578588 36451157176 72902314352 102193422797 204386845594 408773691188 715353959579 817547382376 1430707919158 1635094764752 2861415838316 5722831676632 11445663353264