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11343521520 = 2432579199429
BaseRepresentation
bin10101001000010000…
…00110011011110000
31002021112211121011200
422210020012123300
5141212420142040
65113335011200
7551050225212
oct124410063360
932245747150
1011343521520
1148a1138681
122246b09b00
1310ba152b16
147987725b2
15465ce8630
hex2a42066f0

11343521520 has 120 divisors (see below), whose sum is σ = 38577739200. Its totient is φ = 2986633728.

The previous prime is 11343521503. The next prime is 11343521521. The reversal of 11343521520 is 2512534311.

11343521520 is a `hidden beast` number, since 1 + 13 + 435 + 215 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×113435215202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343521521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42835 + ... + 156594.

It is an arithmetic number, because the mean of its divisors is an integer number (321481160).

Almost surely, 211343521520 is an apocalyptic number.

11343521520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11343521520 is an abundant number, since it is smaller than the sum of its proper divisors (27234217680).

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

11343521520 is a wasteful number, since it uses less digits than its factorization.

11343521520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199527 (or 199518 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11343521520 in words is "eleven billion, three hundred forty-three million, five hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 7110 9480 11376 14220 18960 28440 56880 199429 398858 598287 797716 997145 1196574 1595432 1794861 1994290 2393148 2991435 3190864 3589722 3988580 4786296 5982870 7179444 7977160 8974305 9572592 11965740 14358888 15754891 15954320 17948610 23931480 28717776 31509782 35897220 47264673 47862960 63019564 71794440 78774455 94529346 126039128 141794019 143588880 157548910 189058692 236323365 252078256 283588038 315097820 378117384 472646730 567176076 630195640 708970095 756234768 945293460 1134352152 1260391280 1417940190 1890586920 2268704304 2835880380 3781173840 5671760760 11343521520