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12075282954 = 2337217215791
BaseRepresentation
bin10110011111011111…
…00011001000001010
31011011112202221011000
423033233203020022
5144212233023304
65314115115430
7605144132400
oct131757431012
934145687130
1012075282954
115137200899
12240bba2b76
1311a5932b57
14827a17470
154aa191939
hex2cfbe320a

12075282954 has 144 divisors (see below), whose sum is σ = 33161304960. Its totient is φ = 3246929280.

The previous prime is 12075282953. The next prime is 12075283019. The reversal of 12075282954 is 45928257021.

It is a super-2 number, since 2×120752829542 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12075282953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 756799 + ... + 772589.

It is an arithmetic number, because the mean of its divisors is an integer number (230286840).

Almost surely, 212075282954 is an apocalyptic number.

12075282954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12075282954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580652480).

12075282954 is an abundant number, since it is smaller than the sum of its proper divisors (21086022006).

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

12075282954 is a wasteful number, since it uses less digits than its factorization.

12075282954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15850 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12075282954 in words is "twelve billion, seventy-five million, two hundred eighty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 289 294 306 357 378 441 459 578 714 833 867 882 918 1071 1323 1666 1734 2023 2142 2499 2601 2646 3213 4046 4998 5202 6069 6426 7497 7803 12138 14161 14994 15606 15791 18207 22491 28322 31582 36414 42483 44982 47373 54621 84966 94746 109242 110537 127449 142119 221074 254898 268447 284238 331611 382347 426357 536894 663222 764694 773759 805341 852714 994833 1547518 1610682 1879129 1989666 2321277 2416023 2984499 3758258 4563599 4642554 4832046 5637387 5968998 6963831 7248069 9127198 11274774 13153903 13690797 13927662 14496138 16912161 20891493 26307806 27381594 31945193 33824322 39461709 41072391 41782986 50736483 63890386 78923418 82144782 95835579 101472966 118385127 123217173 191671158 223616351 236770254 246434346 287506737 355155381 447232702 575013474 670849053 710310762 862520211 1341698106 1725040422 2012547159 4025094318 6037641477 12075282954