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12674764707280 = 2451375891605913
BaseRepresentation
bin1011100001110001001011…
…0110010001010111010000
31122212200210010220210210021
42320130102312101113100
53130130404231113110
642542412335313224
72445502325256034
oct270342266212720
948780703823707
1012674764707280
114047379279585
12150855507b814
1370c2c095cc50
1431b6675ac1c4
1516ea768292da
hexb8712d915d0

12674764707280 has 80 divisors (see below), whose sum is σ = 31739862425040. Its totient is φ = 4679293538304.

The previous prime is 12674764707263. The next prime is 12674764707281. The reversal of 12674764707280 is 8270746747621.

It can be written as a sum of positive squares in 8 ways, for example, as 5782543614864 + 6892221092416 = 2404692^2 + 2625304^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12674764707281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7089604 + ... + 8695516.

It is an arithmetic number, because the mean of its divisors is an integer number (396748280313).

Almost surely, 212674764707280 is an apocalyptic number.

12674764707280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12674764707280 is an abundant number, since it is smaller than the sum of its proper divisors (19065097717760).

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

12674764707280 is a wasteful number, since it uses less digits than its factorization.

12674764707280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613528 (or 1613522 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 61.

The spelling of 12674764707280 in words is "twelve trillion, six hundred seventy-four billion, seven hundred sixty-four million, seven hundred seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 7589 15178 30356 37945 60712 75890 98657 121424 151780 197314 303560 394628 493285 607120 789256 986570 1578512 1605913 1973140 3211826 3946280 6423652 7892560 8029565 12847304 16059130 20876869 25694608 32118260 41753738 64236520 83507476 104384345 128473040 167014952 208768690 334029904 417537380 835074760 1670149520 12187273757 24374547514 48749095028 60936368785 97498190056 121872737570 158434558841 194996380112 243745475140 316869117682 487490950280 633738235364 792172794205 974981900560 1267476470728 1584345588410 2534952941456 3168691176820 6337382353640 12674764707280