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12134902248 = 233476739929
BaseRepresentation
bin10110100110100101…
…11110100111101000
31011022200221220110000
423103102332213220
5144323013332443
65324045023000
7606466652520
oct132322764750
934280856400
1012134902248
115167921737
122427b54a60
1311b50a8741
148318d6680
154b051b8d3
hex2d34be9e8

12134902248 has 160 divisors (see below), whose sum is σ = 39425284800. Its totient is φ = 3415281408.

The previous prime is 12134902237. The next prime is 12134902261. The reversal of 12134902248 is 84220943121.

12134902248 is a `hidden beast` number, since 121 + 3 + 490 + 2 + 2 + 48 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 283948 + ... + 323876.

It is an arithmetic number, because the mean of its divisors is an integer number (246408030).

Almost surely, 212134902248 is an apocalyptic number.

12134902248 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 12134902248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712642400).

12134902248 is an abundant number, since it is smaller than the sum of its proper divisors (27290382552).

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

12134902248 is a wasteful number, since it uses less digits than its factorization.

12134902248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40021 (or 40008 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12134902248 in words is "twelve billion, one hundred thirty-four million, nine hundred two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 81 84 108 126 134 162 168 189 201 216 252 268 324 378 402 469 504 536 567 603 648 756 804 938 1134 1206 1407 1512 1608 1809 1876 2268 2412 2814 3618 3752 4221 4536 4824 5427 5628 7236 8442 10854 11256 12663 14472 16884 21708 25326 33768 37989 39929 43416 50652 75978 79858 101304 119787 151956 159716 239574 279503 303912 319432 359361 479148 559006 718722 838509 958296 1078083 1118012 1437444 1677018 2156166 2236024 2515527 2675243 2874888 3234249 3354036 4312332 5031054 5350486 6468498 6708072 7546581 8025729 8624664 10062108 10700972 12936996 15093162 16051458 18726701 20124216 21401944 22639743 24077187 25873992 30186324 32102916 37453402 45279486 48154374 56180103 60372648 64205832 72231561 74906804 90558972 96308748 112360206 144463122 149813608 168540309 181117944 192617496 216694683 224720412 288926244 337080618 433389366 449440824 505620927 577852488 674161236 866778732 1011241854 1348322472 1516862781 1733557464 2022483708 3033725562 4044967416 6067451124 12134902248