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12749361540 = 2235434941613
BaseRepresentation
bin10111101111110101…
…11101000110000100
31012220112011200010120
423313322331012010
5202102314032130
65505035021540
7630640533156
oct136772750604
935815150116
1012749361540
115452756033
12257989a8b0
131282497816
1488d364ad6
154e9443910
hex2f7ebd184

12749361540 has 48 divisors (see below), whose sum is σ = 36528410688. Its totient is φ = 3320763264.

The previous prime is 12749361539. The next prime is 12749361571. The reversal of 12749361540 is 4516394721.

It is a junction number, because it is equal to n+sod(n) for n = 12749361492 and 12749361501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2468227 + ... + 2473386.

It is an arithmetic number, because the mean of its divisors is an integer number (761008556).

Almost surely, 212749361540 is an apocalyptic number.

12749361540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12749361540 is an abundant number, since it is smaller than the sum of its proper divisors (23779049148).

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

12749361540 is a wasteful number, since it uses less digits than its factorization.

12749361540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941668 (or 4941666 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 12749361540 in words is "twelve billion, seven hundred forty-nine million, three hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4941613 9883226 14824839 19766452 24708065 29649678 49416130 59299356 74124195 98832260 148248390 212489359 296496780 424978718 637468077 849957436 1062446795 1274936154 2124893590 2549872308 3187340385 4249787180 6374680770 12749361540