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11520523614216 = 2336118146793097
BaseRepresentation
bin1010011110100101010010…
…1101111011100000001000
31111210100111002200000110210
42213221110231323200020
53002223013021123331
640300242215041120
72266221212664651
oct247512455734010
944710432600423
1011520523614216
113741910271551
1213609080701a0
136574c457c046
142bb84c422528
1514ea1ded8446
hexa7a54b7b808

11520523614216 has 128 divisors (see below), whose sum is σ = 29498540722560. Its totient is φ = 3748268390400.

The previous prime is 11520523614199. The next prime is 11520523614221. The reversal of 11520523614216 is 61241632502511.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123700980 + ... + 123794076.

It is an arithmetic number, because the mean of its divisors is an integer number (230457349395).

Almost surely, 211520523614216 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 11520523614216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14749270361280).

11520523614216 is an abundant number, since it is smaller than the sum of its proper divisors (17978017108344).

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

11520523614216 is a wasteful number, since it uses less digits than its factorization.

11520523614216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93815 (or 93811 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 11520523614216 in words is "eleven trillion, five hundred twenty billion, five hundred twenty-three million, six hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 61 122 181 183 244 362 366 467 488 543 724 732 934 1086 1401 1448 1464 1868 2172 2802 3736 4344 5604 11041 11208 22082 28487 33123 44164 56974 66246 84527 85461 88328 93097 113948 132492 169054 170922 186194 227896 253581 264984 279291 338108 341844 372388 507162 558582 676216 683688 744776 1014324 1117164 2028648 2234328 5156147 5678917 10312294 11357834 15468441 16850557 17036751 20624588 22715668 30936882 33701114 34073502 41249176 43476299 45431336 50551671 61873764 67402228 68147004 86952598 101103342 123747528 130428897 134804456 136294008 173905196 202206684 260857794 347810392 404413368 521715588 1027883977 1043431176 2055767954 2652054239 3083651931 4111535908 5304108478 6167303862 7869210119 7956162717 8223071816 10608216956 12334607724 15738420238 15912325434 21216433912 23607630357 24669215448 31476840476 31824650868 47215260714 62953680952 63649301736 94430521428 188861042856 480021817259 960043634518 1440065451777 1920087269036 2880130903554 3840174538072 5760261807108 11520523614216