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12740464707120 = 2432518239706577
BaseRepresentation
bin1011100101100101111011…
…0111111000011000110000
31200002222100220001121100200
42321121132313320120300
53132214432431111440
643032515542315200
72453316410122053
oct271313667703060
950088326047320
1012740464707120
114072223202907
12151922ba28b00
13715561287cb7
143208db09aa9a
1517161e6a5c30
hexb965edf8630

12740464707120 has 120 divisors (see below), whose sum is σ = 42810202221696. Its totient is φ = 3395593242624.

The previous prime is 12740464707101. The next prime is 12740464707127. The reversal of 12740464707120 is 2170746404721.

12740464707120 is a `hidden beast` number, since 1 + 2 + 74 + 0 + 46 + 470 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12740464707127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3540729 + ... + 6165848.

Almost surely, 212740464707120 is an apocalyptic number.

12740464707120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12740464707120 is an abundant number, since it is smaller than the sum of its proper divisors (30069737514576).

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

12740464707120 is a wasteful number, since it uses less digits than its factorization.

12740464707120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9708419 (or 9708410 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 12740464707120 in words is "twelve trillion, seven hundred forty billion, four hundred sixty-four million, seven hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1823 3646 5469 7292 9115 10938 14584 16407 18230 21876 27345 29168 32814 36460 43752 54690 65628 72920 82035 87504 109380 131256 145840 164070 218760 262512 328140 437520 656280 1312560 9706577 19413154 29119731 38826308 48532885 58239462 77652616 87359193 97065770 116478924 145598655 155305232 174718386 194131540 232957848 291197310 349436772 388263080 436795965 465915696 582394620 698873544 776526160 873591930 1164789240 1397747088 1747183860 2329578480 3494367720 6988735440 17695089871 35390179742 53085269613 70780359484 88475449355 106170539226 141560718968 159255808839 176950898710 212341078452 265426348065 283121437936 318511617678 353901797420 424682156904 530852696130 637023235356 707803594840 796279044195 849364313808 1061705392260 1274046470712 1415607189680 1592558088390 2123410784520 2548092941424 3185116176780 4246821569040 6370232353560 12740464707120