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12255452316 = 2232292834877
BaseRepresentation
bin10110110100111101…
…10101110010011100
31011122002210111001100
423122132311302130
5200044343433231
65344032513100
7612462424452
oct133236656234
934562714040
1012255452316
115219979798
1224603ab790
131204065b43
148439169d2
154badd01e6
hex2da7b5c9c

12255452316 has 108 divisors (see below), whose sum is σ = 32477353272. Its totient is φ = 3895963008.

The previous prime is 12255452203. The next prime is 12255452323. The reversal of 12255452316 is 61325455221.

12255452316 is a `hidden beast` number, since 1 + 22 + 554 + 52 + 31 + 6 = 666.

It is a super-2 number, since 2×122554523162 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2510470 + ... + 2515346.

It is an arithmetic number, because the mean of its divisors is an integer number (300716234).

Almost surely, 212255452316 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 12255452316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238676636).

12255452316 is an abundant number, since it is smaller than the sum of its proper divisors (20221900956).

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

12255452316 is a wasteful number, since it uses less digits than its factorization.

12255452316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 4994 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 12255452316 in words is "twelve billion, two hundred fifty-five million, four hundred fifty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 83 87 116 166 174 249 261 332 348 498 522 747 841 996 1044 1494 1682 2407 2523 2988 3364 4814 4877 5046 7221 7569 9628 9754 10092 14442 14631 15138 19508 21663 28884 29262 30276 43326 43893 58524 69803 86652 87786 139606 141433 175572 209409 279212 282866 404791 418818 424299 565732 628227 809582 837636 848598 1214373 1256454 1272897 1619164 1697196 2428746 2512908 2545794 3643119 4101557 4857492 5091588 7286238 8203114 11738939 12304671 14572476 16406228 23477878 24609342 35216817 36914013 46955756 49218684 70433634 73828026 105650451 140867268 147656052 211300902 340429231 422601804 680858462 1021287693 1361716924 2042575386 3063863079 4085150772 6127726158 12255452316