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12442513452 = 22317296731391
BaseRepresentation
bin10111001011010000…
…11011000000101100
31012010010210011200120
423211220123000230
5200440240412302
65414354124540
7620223422265
oct134550330054
935103704616
1012442513452
115305524576
1224b2b80750
131233a3c9c5
148606cb96c
154cc5309bc
hex2e5a1b02c

12442513452 has 96 divisors (see below), whose sum is σ = 32275998720. Its totient is φ = 3712558080.

The previous prime is 12442513441. The next prime is 12442513453. The reversal of 12442513452 is 25431524421.

It is a super-2 number, since 2×124425134522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12442513453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380677 + ... + 412067.

It is an arithmetic number, because the mean of its divisors is an integer number (336208320).

Almost surely, 212442513452 is an apocalyptic number.

12442513452 is a gapful number since it is divisible by the number (12) 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 12442513452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137999360).

12442513452 is an abundant number, since it is smaller than the sum of its proper divisors (19833485268).

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

12442513452 is a wasteful number, since it uses less digits than its factorization.

12442513452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31511 (or 31509 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The spelling of 12442513452 in words is "twelve billion, four hundred forty-two million, five hundred thirteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 67 68 87 102 116 134 174 201 204 268 348 402 493 804 986 1139 1479 1943 1972 2278 2958 3417 3886 4556 5829 5916 6834 7772 11658 13668 23316 31391 33031 62782 66062 94173 99093 125564 132124 188346 198186 376692 396372 533647 910339 1067294 1600941 1820678 2103197 2134588 2731017 3201882 3641356 4206394 5462034 6309591 6403764 8412788 10924068 12619182 15475763 25238364 30951526 35754349 46427289 60992713 61903052 71508698 92854578 107263047 121985426 143017396 182978139 185709156 214526094 243970852 365956278 429052188 731912556 1036876121 2073752242 3110628363 4147504484 6221256726 12442513452