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1158811343361 = 347424412
BaseRepresentation
bin10000110111001110100…
…010011101101000000001
311002210002112222120010000
4100313032202131220001
5122441221200441421
62244203420430213
7146502265620000
oct20671642355001
94083075876100
101158811343361
114074a387a7a1
121687036a8369
13853771b3129
1440130140c37
1520223ba9226
hex10dce89da01

1158811343361 has 75 divisors (see below), whose sum is σ = 2020281984083. Its totient is φ = 661906637280.

The previous prime is 1158811343353. The next prime is 1158811343377. The reversal of 1158811343361 is 1633431188511.

The square root of 1158811343361 is 1076481.

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

1158811343361 is a `hidden beast` number, since 1 + 1 + 588 + 1 + 1 + 3 + 4 + 3 + 3 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112036808961 + 1046774534400 = 334719^2 + 1023120^2 .

It is not a de Polignac number, because 1158811343361 - 23 = 1158811343353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1158811343561) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 474726901 + ... + 474729341.

Almost surely, 21158811343361 is an apocalyptic number.

1158811343361 is the 1076481-st square number.

1158811343361 is the 538241-st centered octagonal number.

It is an amenable number.

1158811343361 is a deficient number, since it is larger than the sum of its proper divisors (861470640722).

1158811343361 is an frugal number, since it uses more digits than its factorization.

1158811343361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 2451 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 1158811343361 in words is "one trillion, one hundred fifty-eight billion, eight hundred eleven million, three hundred forty-three thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 2401 2441 3087 3969 7203 7323 9261 17087 21609 21969 27783 51261 64827 65907 119609 153783 194481 197721 358827 461349 837263 1076481 1384047 2511789 3229443 5860841 5958481 7535367 9688329 17582523 17875443 22606101 41709367 52747569 53626329 67818303 125128101 158242707 160878987 291965569 375384303 474728121 482636961 875896707 1126152909 2043758983 2627690121 3378458727 6131276949 7883070363 14306312881 18393830847 23649211089 42918938643 55181492541 128756815929 165544477623 386270447787 1158811343361