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13851107669296 = 2431671572654779
BaseRepresentation
bin1100100110001111011001…
…0110100011010100110000
31211001011010111201212111201
43021203312112203110300
53303414032030404141
645243035551420544
72626465234413622
oct311436626432460
954034114655451
1013851107669296
1144602491aa907
12167852bb24754
1379620000c211
1435c57bc54c12
151904746bc031
hexc98f65a3530

13851107669296 has 80 divisors (see below), whose sum is σ = 28294772669440. Its totient is φ = 6560062629120.

The previous prime is 13851107669263. The next prime is 13851107669299. The reversal of 13851107669296 is 69296670115831.

It is a super-2 number, since 2×138511076692962 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13851107669299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3890035 + ... + 6544813.

It is an arithmetic number, because the mean of its divisors is an integer number (353684658368).

Almost surely, 213851107669296 is an apocalyptic number.

13851107669296 is a gapful number since it is divisible by the number (16) 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 13851107669296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147386334720).

13851107669296 is an abundant number, since it is smaller than the sum of its proper divisors (14443665000144).

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

13851107669296 is a wasteful number, since it uses less digits than its factorization.

13851107669296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655042 (or 2655036 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

The spelling of 13851107669296 in words is "thirteen trillion, eight hundred fifty-one billion, one hundred seven million, six hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 67 124 134 157 248 268 314 496 536 628 1072 1256 2077 2512 4154 4867 8308 9734 10519 16616 19468 21038 33232 38936 42076 77872 84152 168304 326089 652178 1304356 2608712 2654779 5217424 5309558 10619116 21238232 42476464 82298149 164596298 177870193 329192596 355740386 416800303 658385192 711480772 833600606 1316770384 1422961544 1667201212 2845923088 3334402424 5513975983 6668804848 11027951966 12920809393 22055903932 25841618786 27925620301 44111807864 51683237572 55851240602 88223615728 103366475144 111702481204 206732950288 223404962408 446809924816 865694229331 1731388458662 3462776917324 6925553834648 13851107669296