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12476556935089 = 132167216272
BaseRepresentation
bin1011010110001110110010…
…1111100111111110110001
31122011202011201000201122121
42311203230233213332301
53113403442033410324
642311352351034241
72425254466066012
oct265435457477661
948152151021577
1012476556935089
113a80307143695
12149605980b981
136c66c3a3c300
14311c2353d009
151698258c55e4
hexb58ecbe7fb1

12476556935089 has 27 divisors (see below), whose sum is σ = 13599860052267. Its totient is φ = 11440822605264.

The previous prime is 12476556935083. The next prime is 12476556935111. The reversal of 12476556935089 is 98053965567421.

The square root of 12476556935089 is 3532217.

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

It can be written as a sum of positive squares in only one way, i.e., 1845644517025 + 10630912418064 = 1358545^2 + 3260508^2 .

It is not a de Polignac number, because 12476556935089 - 221 = 12476554837937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12476556935083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7668442294 + ... + 7668443920.

It is a 1-persistent number, because it is pandigital, but 2⋅12476556935089 = 24953113870178 is not.

Almost surely, 212476556935089 is an apocalyptic number.

12476556935089 is the 3532217-th square number.

12476556935089 is the 1766109-th centered octagonal number.

It is an amenable number.

12476556935089 is a deficient number, since it is larger than the sum of its proper divisors (1123303117178).

12476556935089 is an frugal number, since it uses more digits than its factorization.

12476556935089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 70.

The spelling of 12476556935089 in words is "twelve trillion, four hundred seventy-six billion, five hundred fifty-six million, nine hundred thirty-five thousand, eighty-nine".

Divisors: 1 13 167 169 1627 2171 21151 27889 28223 271709 274963 362557 2647129 3532217 4713241 34412677 45375403 45918821 442070543 447364801 589880239 5746917059 7668443107 73825780681 74709921767 959735148853 12476556935089