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12145024050 = 23521632511979
BaseRepresentation
bin10110100111110011…
…00101110000110010
31011100102000010221120
423103321211300302
5144333111232200
65325050003110
7606652000245
oct132371456062
934312003846
1012145024050
115172605365
12242b416496
1311b7210883
14832dad25c
154b136a9a0
hex2d3e65c32

12145024050 has 96 divisors (see below), whose sum is σ = 30440551680. Its totient is φ = 3204360000.

The previous prime is 12145024019. The next prime is 12145024079. The reversal of 12145024050 is 5042054121.

It is a self number, because there is not a number n which added to its sum of digits gives 12145024050.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6135961 + ... + 6137939.

It is an arithmetic number, because the mean of its divisors is an integer number (317089080).

Almost surely, 212145024050 is an apocalyptic number.

12145024050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12145024050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15220275840).

12145024050 is an abundant number, since it is smaller than the sum of its proper divisors (18295527630).

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

12145024050 is a wasteful number, since it uses less digits than its factorization.

12145024050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 12145024050 its reverse (5042054121), we get a palindrome (17187078171).

The spelling of 12145024050 in words is "twelve billion, one hundred forty-five million, twenty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 163 251 326 489 502 753 815 978 1255 1506 1630 1979 2445 2510 3765 3958 4075 4890 5937 6275 7530 8150 9895 11874 12225 12550 18825 19790 24450 29685 37650 40913 49475 59370 81826 98950 122739 148425 204565 245478 296850 322577 409130 496729 613695 645154 967731 993458 1022825 1227390 1490187 1612885 1935462 2045650 2483645 2980374 3068475 3225770 4838655 4967290 6136950 7450935 8064425 9677310 12418225 14901870 16128850 24193275 24836450 37254675 48386550 74509350 80966827 161933654 242900481 404834135 485800962 809668270 1214502405 2024170675 2429004810 4048341350 6072512025 12145024050