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12747777640 = 23513119320549
BaseRepresentation
bin10111101111101001…
…11010011001101000
31012220102012012102121
423313310322121220
5202101412341030
65504541041024
7630621215323
oct136764723150
935812165377
1012747777640
115451874024
122579256174
1312820618c0
1488d0717ba
154e922e47a
hex2f7d3a668

12747777640 has 64 divisors (see below), whose sum is σ = 30916242000. Its totient is φ = 4702697472.

The previous prime is 12747777629. The next prime is 12747777659. The reversal of 12747777640 is 4677774721.

It can be written as a sum of positive squares in 8 ways, for example, as 7180528644 + 5567248996 = 84738^2 + 74614^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 610086 + ... + 630634.

Almost surely, 212747777640 is an apocalyptic number.

12747777640 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 12747777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458121000).

12747777640 is an abundant number, since it is smaller than the sum of its proper divisors (18168464360).

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

12747777640 is a wasteful number, since it uses less digits than its factorization.

12747777640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21766 (or 21762 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 52.

The spelling of 12747777640 in words is "twelve billion, seven hundred forty-seven million, seven hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1193 2386 4772 5965 9544 11930 15509 20549 23860 31018 41098 47720 62036 77545 82196 102745 124072 155090 164392 205490 267137 310180 410980 534274 620360 821960 1068548 1335685 2137096 2671370 5342740 10685480 24514957 49029914 98059828 122574785 196119656 245149570 318694441 490299140 637388882 980598280 1274777764 1593472205 2549555528 3186944410 6373888820 12747777640