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12053520468 = 22331110794823
BaseRepresentation
bin10110011100111001…
…00010000001010100
31011010000211021122000
423032130202001110
5144141200123333
65312020435300
7604461143043
oct131634420124
934100737560
1012053520468
115125997370
122404848b30
1311a1283442
14824b9055a
154a82e3713
hex2ce722054

12053520468 has 96 divisors (see below), whose sum is σ = 34409733120. Its totient is φ = 3618407520.

The previous prime is 12053520439. The next prime is 12053520469. The reversal of 12053520468 is 86402535021.

12053520468 is a `hidden beast` number, since 1 + 20 + 53 + 520 + 4 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12053520469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79705 + ... + 174527.

It is an arithmetic number, because the mean of its divisors is an integer number (358434720).

Almost surely, 212053520468 is an apocalyptic number.

12053520468 is a gapful number since it is divisible by the number (18) 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 12053520468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204866560).

12053520468 is an abundant number, since it is smaller than the sum of its proper divisors (22356212652).

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

12053520468 is a wasteful number, since it uses less digits than its factorization.

12053520468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94954 (or 94946 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12053520468 in words is "twelve billion, fifty-three million, five hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 107 108 132 198 214 297 321 396 428 594 642 963 1177 1188 1284 1926 2354 2889 3531 3852 4708 5778 7062 10593 11556 14124 21186 31779 42372 63558 94823 127116 189646 284469 379292 568938 853407 1043053 1137876 1706814 2086106 2560221 3129159 3413628 4172212 5120442 6258318 9387477 10146061 10240884 12516636 18774954 20292122 28162431 30438183 37549908 40584244 56324862 60876366 91314549 111606671 112649724 121752732 182629098 223213342 273943647 334820013 365258196 446426684 547887294 669640026 1004460039 1095774588 1339280052 2008920078 3013380117 4017840156 6026760234 12053520468