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12165034024 = 23111343673691
BaseRepresentation
bin10110101010001011…
…11011000000101000
31011101210122202110201
423111011323000220
5144403222042044
65331042521544
7610314040333
oct132505730050
934353582421
1012165034024
115182932130
1224360662b4
1311bb3c86b0
148358db61a
154b2ebe7d4
hex2d517b028

12165034024 has 128 divisors (see below), whose sum is σ = 27837089280. Its totient is φ = 4909766400.

The previous prime is 12165033977. The next prime is 12165034061. The reversal of 12165034024 is 42043056121.

It is a junction number, because it is equal to n+sod(n) for n = 12165033983 and 12165034001.

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, 3294019 + ... + 3297709.

It is an arithmetic number, because the mean of its divisors is an integer number (217477260).

Almost surely, 212165034024 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 12165034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918544640).

12165034024 is an abundant number, since it is smaller than the sum of its proper divisors (15672055256).

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

12165034024 is a wasteful number, since it uses less digits than its factorization.

12165034024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 12165034024 in words is "twelve billion, one hundred sixty-five million, thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 67 86 88 104 134 143 172 268 286 344 473 536 559 572 737 871 946 1118 1144 1474 1742 1892 2236 2881 2948 3484 3691 3784 4472 5762 5896 6149 6968 7382 9581 11524 12298 14764 19162 23048 24596 29528 31691 37453 38324 40601 47983 49192 63382 74906 76648 81202 95966 126764 149812 158713 162404 191932 247297 253528 299624 317426 324808 383864 411983 494594 527813 634852 823966 989188 1055626 1269704 1647932 1745843 1978376 2063269 2111252 2720267 3214861 3295864 3491686 4126538 4222504 5440534 6429722 6983372 8253076 10633771 10881068 12859444 13966744 16506152 21267542 21762136 22695959 25718888 35363471 42535084 45391918 70726942 85070168 90783836 116971481 138239023 141453884 181567672 233942962 276478046 282907768 467885924 552956092 935771848 1105912184 1520629253 3041258506 6082517012 12165034024