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12818766156 = 22371767133981
BaseRepresentation
bin10111111000000111…
…01101100101001100
31020002100202210100220
423330003231211030
5202223101004111
65515554351340
7632442500040
oct137403554514
936070683326
1012818766156
11548894a819
122598b8b550
131293988341
14898670020
155005a2e06
hex2fc0ed94c

12818766156 has 96 divisors (see below), whose sum is σ = 36734648832. Its totient is φ = 3395589120.

The previous prime is 12818766137. The next prime is 12818766167. The reversal of 12818766156 is 65166781821.

It is a super-2 number, since 2×128187661562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 12818766099 and 12818766108.

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, 28686 + ... + 162666.

It is an arithmetic number, because the mean of its divisors is an integer number (382652592).

Almost surely, 212818766156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12818766156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367324416).

12818766156 is an abundant number, since it is smaller than the sum of its proper divisors (23915882676).

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

12818766156 is a wasteful number, since it uses less digits than its factorization.

12818766156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134079 (or 134077 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The spelling of 12818766156 in words is "twelve billion, eight hundred eighteen million, seven hundred sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 67 68 84 102 119 134 201 204 238 268 357 402 469 476 714 804 938 1139 1407 1428 1876 2278 2814 3417 4556 5628 6834 7973 13668 15946 23919 31892 47838 95676 133981 267962 401943 535924 803886 937867 1607772 1875734 2277677 2813601 3751468 4555354 5627202 6833031 8976727 9110708 11254404 13666062 15943739 17953454 26930181 27332124 31887478 35906908 47831217 53860362 62837089 63774956 95662434 107720724 125674178 152604359 188511267 191324868 251348356 305208718 377022534 457813077 610417436 754045068 915626154 1068230513 1831252308 2136461026 3204691539 4272922052 6409383078 12818766156