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12493000980 = 2234527772
BaseRepresentation
bin10111010001010010…
…00001000100010100
31012020122210012120000
423220221001010110
5201041202012410
65423400211300
7621405520245
oct135051010424
935218705500
1012493000980
115330a785a9
122507a69b30
131241338c95
148672b0ccc
154d1ba4dc0
hex2e8a41114

12493000980 has 90 divisors (see below), whose sum is σ = 39205124574. Its totient is φ = 3330267264.

The previous prime is 12493000937. The next prime is 12493000999. The reversal of 12493000980 is 8900039421.

It can be written as a sum of positive squares in 3 ways, for example, as 42458256 + 12450542724 = 6516^2 + 111582^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4497352 + ... + 4500128.

Almost surely, 212493000980 is an apocalyptic number.

12493000980 is a gapful number since it is divisible by the number (10) 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 12493000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602562287).

12493000980 is an abundant number, since it is smaller than the sum of its proper divisors (26712123594).

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

12493000980 is an frugal number, since it uses more digits than its factorization.

12493000980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12493000980 in words is "twelve billion, four hundred ninety-three million, nine hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2777 5554 8331 11108 13885 16662 24993 27770 33324 41655 49986 55540 74979 83310 99972 124965 149958 166620 224937 249930 299916 374895 449874 499860 749790 899748 1124685 1499580 2249370 4498740 7711729 15423458 23135187 30846916 38558645 46270374 69405561 77117290 92540748 115675935 138811122 154234580 208216683 231351870 277622244 347027805 416433366 462703740 624650049 694055610 832866732 1041083415 1249300098 1388111220 2082166830 2498600196 3123250245 4164333660 6246500490 12493000980