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13071676667060 = 2251131892241973
BaseRepresentation
bin1011111000110111110010…
…1001001111010010110100
31201021122021121210110222002
42332031330221033102310
53203131243211321220
643445013444154432
72516253222253244
oct276157451172264
951248247713862
1013071676667060
11418a737778620
121571466098a18
1373a86659cb4b
1433295b5abb24
1517a05708cc75
hexbe37ca4f4b4

13071676667060 has 144 divisors (see below), whose sum is σ = 31263381499392. Its totient is φ = 4548299289600.

The previous prime is 13071676667017. The next prime is 13071676667107. The reversal of 13071676667060 is 6076667617031.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13071676666987 and 13071676667005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53900234 + ... + 54142206.

It is an arithmetic number, because the mean of its divisors is an integer number (217106815968).

Almost surely, 213071676667060 is an apocalyptic number.

13071676667060 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 13071676667060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15631690749696).

13071676667060 is an abundant number, since it is smaller than the sum of its proper divisors (18191704832332).

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

13071676667060 is a wasteful number, since it uses less digits than its factorization.

13071676667060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242202 (or 242111 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 56.

The spelling of 13071676667060 in words is "thirteen trillion, seventy-one billion, six hundred seventy-six million, six hundred sixty-seven thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 89 110 124 155 178 220 310 341 356 445 620 682 890 979 1364 1705 1780 1958 2759 3410 3916 4895 5518 6820 7921 9790 11036 13795 15842 19580 27590 30349 31684 39605 55180 60698 79210 87131 121396 151745 158420 174262 241973 245551 303490 348524 435655 483946 491102 606980 871310 967892 982204 1209865 1227755 1742620 2419730 2455510 2661703 2701061 4839460 4911020 5323406 5402122 7501163 10646812 10804244 13308515 13505305 15002326 21535597 26617030 27010610 30004652 37505815 43071194 53234060 54021220 75011630 82512793 86142388 107677985 150023260 165025586 215355970 236891567 330051172 412563965 430711940 473783134 667603507 825127930 947566268 1184457835 1335207014 1650255860 1916668133 2368915670 2670414028 3338017535 3833336266 4737831340 6676035070 7343638577 7666672532 9583340665 13352070140 14687277154 19166681330 21083349463 29374554308 36718192885 38333362660 42166698926 59416712123 73436385770 84333397852 105416747315 118833424246 146872771540 210833494630 237666848492 297083560615 421666989260 594167121230 653583833353 1188334242460 1307167666706 2614335333412 3267919166765 6535838333530 13071676667060