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12996154780324 = 2259213722232
BaseRepresentation
bin1011110100011110011100…
…1100000110101010100100
31201000102100101001010111221
42331013213030012222210
53200412111110432244
643350203500110124
72510640554644402
oct275074714065244
951012311033457
1012996154780324
1141607026232a1
12155a8a9b35344
137336bc14a6c1
1432d035482472
151780d6cd7784
hexbd1e7306aa4

12996154780324 has 81 divisors (see below), whose sum is σ = 23410364002977. Its totient is φ = 6312876800448.

The previous prime is 12996154780319. The next prime is 12996154780333. The reversal of 12996154780324 is 42308745169921.

The square root of 12996154780324 is 3605018.

It is a perfect power (a square), and thus also a powerful number.

12996154780324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7634003220900 + 5362151559424 = 2762970^2 + 2315632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58278720877 + ... + 58278721099.

It is a 1-persistent number, because it is pandigital, but 2⋅12996154780324 = 25992309560648 is not.

Almost surely, 212996154780324 is an apocalyptic number.

12996154780324 is the 3605018-th square number.

It is an amenable number.

12996154780324 is a deficient number, since it is larger than the sum of its proper divisors (10414209222653).

12996154780324 is an frugal number, since it uses more digits than its factorization.

12996154780324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 12996154780324 in words is "twelve trillion, nine hundred ninety-six billion, one hundred fifty-four million, seven hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 4 59 118 137 223 236 274 446 548 892 3481 6962 8083 13157 13924 16166 18769 26314 30551 32332 37538 49729 52628 61102 75076 99458 122204 198916 476897 776263 953794 1107371 1552526 1802509 1907588 2214742 2934011 3105052 3605018 4185487 4429484 5868022 6812873 7210036 8370974 11736044 13625746 16741948 27251492 65334889 106348031 130669778 173106649 212696062 246943733 261339556 346213298 401959507 425392124 493887466 692426596 803919014 933363601 987774932 1607838028 1866727202 3733454404 14569680247 23715610913 29139360494 47431221826 55068452459 58278720988 94862443652 110136904918 220273809836 3249038695081 6498077390162 12996154780324