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1047496981729 = 112192592832
BaseRepresentation
bin11110011111000111010…
…11110111110011100001
310201010202212101002112111
433033203223313303201
5114130233211403404
62121114035355321
7135451644302302
oct17174353676341
93633685332474
101047496981729
11374271813300
1214b018752b41
1377a175c0363
14389b057c7a9
151c3ab4d6104
hexf3e3af7ce1

1047496981729 has 81 divisors (see below), whose sum is σ = 1251186957489. Its totient is φ = 876174765840.

The previous prime is 1047496981709. The next prime is 1047496981787. The reversal of 1047496981729 is 9271896947401.

The square root of 1047496981729 is 1023473.

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

It is not a de Polignac number, because 1047496981729 - 25 = 1047496981697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1047496981709) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12620445522 + ... + 12620445604.

Almost surely, 21047496981729 is an apocalyptic number.

1047496981729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1047496981729 is the 1023473-rd square number.

1047496981729 is the 511737-th centered octagonal number.

It is an amenable number.

1047496981729 is a deficient number, since it is larger than the sum of its proper divisors (203689975760).

1047496981729 is an frugal number, since it uses more digits than its factorization.

1047496981729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 67.

The spelling of 1047496981729 in words is "one trillion, forty-seven billion, four hundred ninety-six million, nine hundred eighty-one thousand, seven hundred twenty-nine".

Divisors: 1 11 19 59 83 121 209 361 649 913 1121 1577 2299 3481 3971 4897 6889 7139 10043 12331 17347 21299 29963 38291 43681 53867 66139 75779 93043 130891 135641 190817 234289 288923 329593 406451 421201 592537 727529 833569 1023473 1256641 1439801 1767817 2486929 2577179 3178153 3625523 4470961 5489537 7722569 8002819 11258203 13823051 15837811 19445987 23980609 27356219 34959683 49180571 60384907 84948259 104301203 146728811 152053561 213905857 263786699 300918409 455631571 664233977 934430849 1147313233 1614016921 2901653689 5011947281 8656999849 12620445563 17754186131 55131420091 95226998339 1047496981729