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13092941573680 = 245297481754379
BaseRepresentation
bin1011111010000111000000…
…1000011010111000110000
31201100200011121110122220011
42332201300020122320300
53204003321020324210
643502451521024304
72520635204056453
oct276416010327060
951320147418804
1013092941573680
11419875a205711
1215755bb785094
1373c875046327
143339b787b49a
1517a89ddb5d8a
hexbe87021ae30

13092941573680 has 80 divisors (see below), whose sum is σ = 31495033072800. Its totient is φ = 5055901706240.

The previous prime is 13092941573629. The next prime is 13092941573681. The reversal of 13092941573680 is 8637514929031.

It is a happy number.

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

It is a super-3 number, since 3×130929415736803 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (13092941573681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16978731 + ... + 17733109.

It is an arithmetic number, because the mean of its divisors is an integer number (393687913410).

It is a 1-persistent number, because it is pandigital, but 2⋅13092941573680 = 26185883147360 is not.

Almost surely, 213092941573680 is an apocalyptic number.

13092941573680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13092941573680 is an abundant number, since it is smaller than the sum of its proper divisors (18402091499120).

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

13092941573680 is a wasteful number, since it uses less digits than its factorization.

13092941573680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761902 (or 761896 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 13092941573680 in words is "thirteen trillion, ninety-two billion, nine hundred forty-one million, five hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 7481 14962 29924 37405 59848 74810 119696 149620 216949 299240 433898 598480 754379 867796 1084745 1508758 1735592 2169490 3017516 3471184 3771895 4338980 6035032 7543790 8677960 12070064 15087580 17355920 21876991 30175160 43753982 60350320 87507964 109384955 175015928 218769910 350031856 437539820 875079640 1750159280 5643509299 11287018598 22574037196 28217546495 45148074392 56435092990 90296148784 112870185980 163661769671 225740371960 327323539342 451480743920 654647078684 818308848355 1309294157368 1636617696710 2618588314736 3273235393420 6546470786840 13092941573680