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12840764544 = 273321117609
BaseRepresentation
bin10111111010101111…
…01000010010000000
31020010220011102111000
423331113220102000
5202244213431134
65522102052000
7633130461216
oct137527502200
936126142430
1012840764544
11549a305503
1225a441a000
1312983bb23a
1489b558cb6
1550249ae99
hex2fd5e8480

12840764544 has 128 divisors (see below), whose sum is σ = 38079864000. Its totient is φ = 4259727360.

The previous prime is 12840764537. The next prime is 12840764561. The reversal of 12840764544 is 44546704821.

12840764544 is a `hidden beast` number, since 1 + 2 + 8 + 40 + 7 + 64 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12840764544.

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, 720412 + ... + 738020.

Almost surely, 212840764544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12840764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039932000).

12840764544 is an abundant number, since it is smaller than the sum of its proper divisors (25239099456).

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

12840764544 is a wasteful number, since it uses less digits than its factorization.

12840764544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17843 (or 17825 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 12840764544 in words is "twelve billion, eight hundred forty million, seven hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 211 216 288 384 422 432 576 633 844 864 1152 1266 1688 1728 1899 2532 3376 3456 3798 5064 5697 6752 7596 10128 11394 13504 15192 17609 20256 22788 27008 30384 35218 40512 45576 52827 60768 70436 81024 91152 105654 121536 140872 158481 182304 211308 243072 281744 316962 364608 422616 475443 563488 633924 729216 845232 950886 1126976 1267848 1690464 1901772 2253952 2535696 3380928 3715499 3803544 5071392 6761856 7430998 7607088 10142784 11146497 14861996 15214176 20285568 22292994 29723992 30428352 33439491 44585988 59447984 60856704 66878982 89171976 100318473 118895968 133757964 178343952 200636946 237791936 267515928 356687904 401273892 475583872 535031856 713375808 802547784 1070063712 1426751616 1605095568 2140127424 3210191136 4280254848 6420382272 12840764544