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13607331746740 = 22517263367414641
BaseRepresentation
bin1100011000000011010000…
…1011001101001110110100
31210011211220100022220112021
43012000310023031032310
53240420303411343430
644535042155402524
72603045236310344
oct306006413151664
953154810286467
1013607331746740
114376923035116
121639237a53444
137792205836b4
14350853d00d24
15188e57eee07a
hexc60342cd3b4

13607331746740 has 96 divisors (see below), whose sum is σ = 30454174485504. Its totient is φ = 5089364336640.

The previous prime is 13607331746717. The next prime is 13607331746779. The reversal of 13607331746740 is 4764713370631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32609820 + ... + 33024460.

It is an arithmetic number, because the mean of its divisors is an integer number (317230984224).

Almost surely, 213607331746740 is an apocalyptic number.

13607331746740 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 13607331746740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15227087242752).

13607331746740 is an abundant number, since it is smaller than the sum of its proper divisors (16846842738764).

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

13607331746740 is a wasteful number, since it uses less digits than its factorization.

13607331746740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415297 (or 415295 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 52.

The spelling of 13607331746740 in words is "thirteen trillion, six hundred seven billion, three hundred thirty-one million, seven hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 263 340 367 526 734 1052 1315 1468 1835 2630 3670 4471 5260 6239 7340 8942 12478 17884 22355 24956 31195 44710 62390 89420 96521 124780 193042 386084 414641 482605 829282 965210 1640857 1658564 1930420 2073205 3281714 4146410 6563428 7048897 8204285 8292820 14097794 16408570 28195588 32817140 35244485 70488970 109050583 140977940 152173247 218101166 304346494 436202332 545252915 608692988 760866235 1090505830 1521732470 1853859911 2181011660 2586945199 3043464940 3707719822 5173890398 7415439644 9269299555 10347780796 12934725995 18538599110 25869451990 37077198220 40021563961 51738903980 80043127922 160086255844 200107819805 400215639610 680366587337 800431279220 1360733174674 2721466349348 3401832936685 6803665873370 13607331746740