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12146096232088 = 23713591312158649
BaseRepresentation
bin1011000010111111101111…
…0000000101011010011000
31121000011012022220122211021
42300233323300011122120
53043000201113411323
641455501203212224
72362345405340140
oct260577360053230
947004168818737
1012146096232088
113963148747385
121441bb3077074
136a14ab2720b0
142ddc34b09920
15160e33e3805d
hexb0bfbc05698

12146096232088 has 128 divisors (see below), whose sum is σ = 28722133440000. Its totient is φ = 4687547304960.

The previous prime is 12146096232077. The next prime is 12146096232091. The reversal of 12146096232088 is 88023269064121.

It is a happy number.

12146096232088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 4547388 + ... + 6706036.

It is an arithmetic number, because the mean of its divisors is an integer number (224391667500).

Almost surely, 212146096232088 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 12146096232088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361066720000).

12146096232088 is an abundant number, since it is smaller than the sum of its proper divisors (16576037207912).

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

12146096232088 is a wasteful number, since it uses less digits than its factorization.

12146096232088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158865 (or 2158861 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 12146096232088 in words is "twelve trillion, one hundred forty-six billion, ninety-six million, two hundred thirty-two thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 59 91 104 118 131 182 236 262 364 413 472 524 728 767 826 917 1048 1534 1652 1703 1834 3068 3304 3406 3668 5369 6136 6812 7336 7729 10738 11921 13624 15458 21476 23842 30916 42952 47684 54103 61832 95368 100477 108206 200954 216412 401908 432824 703339 803816 1406678 2158649 2813356 4317298 5626712 8634596 15110543 17269192 28062437 30221086 56124874 60442172 112249748 120884344 127360291 196437059 224499496 254720582 282783019 392874118 509441164 565566038 785748236 891522037 1018882328 1131132076 1571496472 1655683783 1783044074 1979481133 2262264152 3311367566 3566088148 3676179247 3958962266 6622735132 7132176296 7352358494 7917924532 11589786481 13245470264 14704716988 15835849064 16684198121 23179572962 25733254729 29409433976 33368396242 46359145924 51466509458 66736792484 92718291848 102933018916 116789386847 133473584968 205866037832 216894575573 233578773694 433789151146 467157547388 867578302292 934315094776 1518262029011 1735156604584 3036524058022 6073048116044 12146096232088