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12442535760 = 2435197263167
BaseRepresentation
bin10111001011010001…
…00000011101010000
31012010010211022021210
423211220200131100
5200440242121020
65414354420120
7620223544314
oct134550403520
935103738253
1012442535760
11530553a306
1224b2b91640
131233a49bc5
148606d5b44
154cc5373e0
hex2e5a20750

12442535760 has 80 divisors (see below), whose sum is σ = 38767804416. Its totient is φ = 3301154304.

The previous prime is 12442535747. The next prime is 12442535761. The reversal of 12442535760 is 6753524421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×124425357602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442535761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84304 + ... + 178863.

Almost surely, 212442535760 is an apocalyptic number.

12442535760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442535760 is an abundant number, since it is smaller than the sum of its proper divisors (26325268656).

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

12442535760 is a wasteful number, since it uses less digits than its factorization.

12442535760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263380 (or 263374 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 12442535760 in words is "twelve billion, four hundred forty-two million, five hundred thirty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 7880 9456 11820 15760 23640 47280 263167 526334 789501 1052668 1315835 1579002 2105336 2631670 3158004 3947505 4210672 5263340 6316008 7895010 10526680 12632016 15790020 21053360 31580040 51843899 63160080 103687798 155531697 207375596 259219495 311063394 414751192 518438990 622126788 777658485 829502384 1036877980 1244253576 1555316970 2073755960 2488507152 3110633940 4147511920 6221267880 12442535760