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11431685460320 = 255432636317803
BaseRepresentation
bin1010011001011010010110…
…0011010001000101100000
31111110212011211000012120122
42212112211203101011200
52444244042434212240
640151351021055412
72256624552100556
oct246264543210540
944425154005518
1011431685460320
113708172467654
1213476543b7568
1364c007382a88
142b7421961bd6
1514c56eb5c4b5
hexa65a58d1160

11431685460320 has 96 divisors (see below), whose sum is σ = 27740517057792. Its totient is φ = 4449349965312.

The previous prime is 11431685460319. The next prime is 11431685460407. The reversal of 11431685460320 is 2306458613411.

It is a congruent number.

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, 1349462 + ... + 4968341.

It is an arithmetic number, because the mean of its divisors is an integer number (288963719352).

Almost surely, 211431685460320 is an apocalyptic number.

11431685460320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11431685460320 is an abundant number, since it is smaller than the sum of its proper divisors (16308831597472).

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

11431685460320 is a wasteful number, since it uses less digits than its factorization.

11431685460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318124 (or 6318116 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 11431685460320 in words is "eleven trillion, four hundred thirty-one billion, six hundred eighty-five million, four hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 263 344 430 526 688 860 1052 1315 1376 1720 2104 2630 3440 4208 5260 6880 8416 10520 11309 21040 22618 42080 45236 56545 90472 113090 180944 226180 361888 452360 904720 1809440 6317803 12635606 25271212 31589015 50542424 63178030 101084848 126356060 202169696 252712120 271665529 505424240 543331058 1010848480 1086662116 1358327645 1661582189 2173324232 2716655290 3323164378 4346648464 5433310580 6646328756 8307910945 8693296928 10866621160 13292657512 16615821890 21733242320 26585315024 33231643780 43466484640 53170630048 66463287560 71448034127 132926575120 142896068254 265853150240 285792136508 357240170635 571584273016 714480341270 1143168546032 1428960682540 2286337092064 2857921365080 5715842730160 11431685460320