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8061120549153 = 337197131617073
BaseRepresentation
bin111010101001110000000…
…1110100001000100100001
31001112122011100111000002000
41311103200032201010201
52024033133330033103
625051121101314213
71461253040054130
oct165234016410441
931478140430060
108061120549153
11262877a440481
12aa2370b65969
13466211548389
141dc235c9d917
15dea4cc5caa3
hex754e03a1121

8061120549153 has 64 divisors (see below), whose sum is σ = 14569147699200. Its totient is φ = 4302451157760.

The previous prime is 8061120549109. The next prime is 8061120549199. The reversal of 8061120549153 is 3519450211608.

It is a happy number.

8061120549153 is a `hidden beast` number, since 8 + 0 + 611 + 20 + 5 + 4 + 9 + 1 + 5 + 3 = 666.

It is not a de Polignac number, because 8061120549153 - 26 = 8061120549089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8061120549099 and 8061120549108.

It is not an unprimeable number, because it can be changed into a prime (8061120547153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15553576 + ... + 16063497.

It is an arithmetic number, because the mean of its divisors is an integer number (227642932800).

Almost surely, 28061120549153 is an apocalyptic number.

It is an amenable number.

8061120549153 is a deficient number, since it is larger than the sum of its proper divisors (6508027150047).

8061120549153 is a wasteful number, since it uses less digits than its factorization.

8061120549153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31617179 (or 31617173 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 80611 and 20549153, that added together give a square (20629764 = 45422).

The spelling of 8061120549153 in words is "eight trillion, sixty-one billion, one hundred twenty million, five hundred forty-nine thousand, one hundred fifty-three".

Divisors: 1 3 7 9 19 21 27 57 63 71 133 171 189 213 399 497 513 639 1197 1349 1491 1917 3591 4047 4473 9443 12141 13419 28329 36423 84987 254961 31617073 94851219 221319511 284553657 600724387 663958533 853660971 1802173161 1991875599 2244812183 4205070709 5406519483 5975626797 6734436549 12615212127 15713685281 16219558449 20203309647 37845636381 42651431477 47141055843 60609928941 113536909143 127954294431 141423167529 298560020339 383862883293 424269502587 895680061017 1151588649879 2687040183051 8061120549153