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12985091370560 = 265891487930643
BaseRepresentation
bin1011110011110101001111…
…0000100010111001000000
31200222100210100021200102202
42330331103300202321000
53200221431342324220
643341134004532332
72510066445343421
oct274752360427100
950870710250382
1012985091370560
114156a45615841
1215587209b10a8
137326480510aa
1432c6a5dc7648
15177b8a8c0275
hexbcf53c22e40

12985091370560 has 112 divisors (see below), whose sum is σ = 31271294937600. Its totient is φ = 5135163838464.

The previous prime is 12985091370551. The next prime is 12985091370653. The reversal of 12985091370560 is 6507319058921.

It is a happy number.

It is a super-2 number, since 2×129850913705602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12985091370496 and 12985091370505.

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, 423738599 + ... + 423769241.

Almost surely, 212985091370560 is an apocalyptic number.

12985091370560 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 12985091370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15635647468800).

12985091370560 is an abundant number, since it is smaller than the sum of its proper divisors (18286203567040).

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

12985091370560 is a wasteful number, since it uses less digits than its factorization.

12985091370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45628 (or 45618 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 56.

The spelling of 12985091370560 in words is "twelve trillion, nine hundred eighty-five billion, ninety-one million, three hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 890 1424 1780 2848 3560 5696 7120 14240 14879 28480 29758 30643 59516 61286 74395 119032 122572 148790 153215 238064 245144 297580 306430 476128 490288 595160 612860 952256 980576 1190320 1225720 1324231 1961152 2380640 2451440 2648462 2727227 4761280 4902880 5296924 5454454 6621155 9805760 10593848 10908908 13242310 13636135 21187696 21817816 26484620 27272270 42375392 43635632 52969240 54544540 84750784 87271264 105938480 109089080 174542528 211876960 218178160 423753920 436356320 455937197 872712640 911874394 1823748788 2279685985 3647497576 4559371970 7294995152 9118743940 14589990304 18237487880 29179980608 36474975760 40578410533 72949951520 81156821066 145899903040 162313642132 202892052665 324627284264 405784105330 649254568528 811568210660 1298509137056 1623136421320 2597018274112 3246272842640 6492545685280 12985091370560