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13504065013626 = 23112337844328477
BaseRepresentation
bin1100010010000010100011…
…1111111000011101111010
31202210222100111202022220020
43010200220333320131322
53232222311120414001
644415403135111310
72562431214462525
oct304405077703572
952728314668806
1013504065013626
114337050717090
121621218072536
1376c57403b8a5
14349859083bbc
151864120d3736
hexc4828ff877a

13504065013626 has 128 divisors (see below), whose sum is σ = 31580211972096. Its totient is φ = 3807847169280.

The previous prime is 13504065013601. The next prime is 13504065013709. The reversal of 13504065013626 is 62631056040531.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474195300 + ... + 474223776.

It is an arithmetic number, because the mean of its divisors is an integer number (246720406032).

Almost surely, 213504065013626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13504065013626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15790105986048).

13504065013626 is an abundant number, since it is smaller than the sum of its proper divisors (18076146958470).

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

13504065013626 is a wasteful number, since it uses less digits than its factorization.

13504065013626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36996.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 13504065013626 in words is "thirteen trillion, five hundred four billion, sixty-five million, thirteen thousand, six hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 222 253 407 506 759 814 851 1221 1518 1702 2442 2553 5106 8443 9361 16886 18722 25329 28083 28477 50658 56166 56954 85431 92873 170862 185746 194189 278619 312391 313247 388378 557238 582567 624782 626494 654971 937173 939741 1053649 1165134 1309942 1874346 1879482 1964913 2107298 2136079 3160947 3436301 3929826 4272158 6321894 6408237 6872602 7184993 7204681 10308903 11590139 12816474 14369986 14409362 20617806 21554979 21614043 23180278 24233927 34770417 43109958 43228086 48467854 69540834 72701781 79034923 145403562 158069846 237104769 240431311 266573197 474209538 480862622 533146394 721293933 799719591 1442587866 1599439182 2644744421 5289488842 5529920153 7934233263 8895958507 11059840306 15868466526 16589760459 17791917014 26687875521 33179520918 53375751042 60829121683 97855543577 121658243366 182487365049 195711087154 204607045661 293566630731 364974730098 409214091322 587133261462 613821136983 1227642273966 2250677502271 4501355004542 6752032506813 13504065013626