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13711376688760 = 23543223251142421
BaseRepresentation
bin1100011110000110110110…
…1111001010011001111000
31210112210110102020121002101
43013201231233022121320
53244121344413020020
645054530335513144
72613420460602622
oct307415557123170
953483412217071
1013711376688760
114406a64760003
1216554343887b4
13785c920bb94a
143558c4253c12
1518b9e73da00a
hexc786dbca678

13711376688760 has 128 divisors (see below), whose sum is σ = 31836170741760. Its totient is φ = 5311696320000.

The previous prime is 13711376688721. The next prime is 13711376688773. The reversal of 13711376688760 is 6788667311731.

It is a happy number.

It is a super-2 number, since 2×137113766887602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13711376688692 and 13711376688701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96202350 + ... + 96344770.

It is an arithmetic number, because the mean of its divisors is an integer number (248720083920).

Almost surely, 213711376688760 is an apocalyptic number.

13711376688760 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 13711376688760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918085370880).

13711376688760 is an abundant number, since it is smaller than the sum of its proper divisors (18124794053000).

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

13711376688760 is a wasteful number, since it uses less digits than its factorization.

13711376688760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142949 (or 142945 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 64.

The spelling of 13711376688760 in words is "thirteen trillion, seven hundred eleven billion, three hundred seventy-six million, six hundred eighty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 223 251 344 430 446 502 860 892 1004 1115 1255 1720 1784 2008 2230 2510 4460 5020 8920 9589 10040 10793 19178 21586 38356 43172 47945 53965 55973 76712 86344 95890 107930 111946 142421 191780 215860 223892 279865 284842 383560 431720 447784 559730 569684 712105 1119460 1139368 1424210 2238920 2406839 2848420 4813678 5696840 6124103 9627356 12034195 12248206 19254712 24068390 24496412 30620515 31759883 35747671 48136780 48992824 61241030 63519766 71495342 96273560 122482060 127039532 142990684 158799415 178738355 244964120 254079064 285981368 317598830 357476710 635197660 714953420 1270395320 1365674969 1429906840 1537149853 2731349938 3074299706 5462699876 6148599412 6828374845 7685749265 7971730633 10925399752 12297198824 13656749690 15371498530 15943461266 27313499380 30742997060 31886922532 39858653165 54626998760 61485994120 63773845064 79717306330 159434612660 318869225320 342784417219 685568834438 1371137668876 1713922086095 2742275337752 3427844172190 6855688344380 13711376688760