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12989961510516 = 223219277212932203
BaseRepresentation
bin1011110100000111011000…
…0010101001111001110100
31200222211100202022102111200
42331001312002221321310
53200311420121314031
643343301140532500
72510331233012244
oct275016602517164
950884322272450
1012989961510516
114159014696aa1
12155965b9b1130
13732c43012b03
1432ca08b23b24
15177d732248e6
hexbd0760a9e74

12989961510516 has 144 divisors (see below), whose sum is σ = 34706083339200. Its totient is φ = 4085237431296.

The previous prime is 12989961510509. The next prime is 12989961510521. The reversal of 12989961510516 is 61501516998921.

12989961510516 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 9 + 9 + 61 + 51 + 0 + 516 = 666.

12989961510516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403361271 + ... + 403393473.

Almost surely, 212989961510516 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 12989961510516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353041669600).

12989961510516 is an abundant number, since it is smaller than the sum of its proper divisors (21716121828684).

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

12989961510516 is a wasteful number, since it uses less digits than its factorization.

12989961510516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34638 (or 34633 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 63.

The spelling of 12989961510516 in words is "twelve trillion, nine hundred eighty-nine billion, nine hundred sixty-one million, five hundred ten thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 277 342 554 684 831 1108 1662 2129 2493 3324 4258 4986 5263 6387 8516 9972 10526 12774 15789 19161 21052 25548 31578 32203 38322 40451 47367 63156 64406 76644 80902 94734 96609 121353 128812 161804 189468 193218 242706 289827 364059 386436 485412 579654 589733 611857 728118 1159308 1179466 1223714 1456236 1769199 1835571 2358932 2447428 3538398 3671142 5307597 5506713 7076796 7342284 8920231 10615194 11013426 11204927 17840462 21230388 22026852 22409854 26760693 33614781 35680924 44819708 53521386 67229562 68560187 80282079 100844343 107042772 134459124 137120374 160564158 169484389 201688686 205680561 274240748 321128316 338968778 403377372 411361122 508453167 617041683 677937556 822722244 1016906334 1234083366 1302643553 1525359501 2033812668 2468166732 2605287106 3050719002 3907930659 5210574212 6101438004 7815861318 11723791977 15631722636 18991171799 23447583954 37982343598 46895167908 56973515397 75964687196 113947030794 170920546191 227894061588 341841092382 360832264181 683682184764 721664528362 1082496792543 1443329056724 2164993585086 3247490377629 4329987170172 6494980755258 12989961510516