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12129763840 = 29517278717
BaseRepresentation
bin10110100101111110…
…11000001000000000
31011022100021211212121
423102333120020000
5144320204420330
65323342534024
7606405201655
oct132277301000
934270254777
1012129763840
115164a32117
122426297314
1311b3cc996c
14830d59c2c
154aed5417a
hex2d2fd8200

12129763840 has 80 divisors (see below), whose sum is σ = 30793879512. Its totient is φ = 4566482944.

The previous prime is 12129763819. The next prime is 12129763879. The reversal of 12129763840 is 4836792121.

It can be written as a sum of positive squares in 4 ways, for example, as 11073773824 + 1055990016 = 105232^2 + 32496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95839 + ... + 182878.

Almost surely, 212129763840 is an apocalyptic number.

12129763840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12129763840 is an abundant number, since it is smaller than the sum of its proper divisors (18664115672).

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

12129763840 is an equidigital number, since it uses as much as digits as its factorization.

12129763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278757 (or 278741 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 12129763840 in words is "twelve billion, one hundred twenty-nine million, seven hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 21760 43520 278717 557434 1114868 1393585 2229736 2787170 4459472 4738189 5574340 8918944 9476378 11148680 17837888 18952756 22297360 23690945 35675776 37905512 44594720 47381890 71351552 75811024 89189440 94763780 142703104 151622048 178378880 189527560 303244096 356757760 379055120 606488192 713515520 758110240 1212976384 1516220480 2425952768 3032440960 6064881920 12129763840