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1361136077586 = 23431826332801
BaseRepresentation
bin10011110011101010000…
…010000100101100010010
311211010022220122222110000
4103303222002010230102
5134300101313440321
62521144113550430
7200224135522545
oct23635202045422
94733286588400
101361136077586
1148528891614a
1219b969875416
139b47c02768c
1449c44c8c85c
1525616288826
hex13cea084b12

1361136077586 has 80 divisors (see below), whose sum is σ = 3148815656448. Its totient is φ = 439009632000.

The previous prime is 1361136077579. The next prime is 1361136077647. The reversal of 1361136077586 is 6857706311631.

1361136077586 is a `hidden beast` number, since 1 + 361 + 136 + 0 + 7 + 75 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 41480386 + ... + 41513186.

Almost surely, 21361136077586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361136077586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574407828224).

1361136077586 is an abundant number, since it is smaller than the sum of its proper divisors (1787679578862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1361136077586 is a wasteful number, since it uses less digits than its factorization.

1361136077586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41109 (or 41100 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1361136077586 in words is "one trillion, three hundred sixty-one billion, one hundred thirty-six million, seventy-seven thousand, five hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 5022 8263 16526 24789 32801 49578 65602 74367 98403 148734 196806 223101 256153 295209 446202 512306 590418 669303 768459 885627 1016831 1338606 1536918 1771254 2033662 2305377 2656881 3050493 4610754 5313762 6100986 6916131 9151479 13832262 18302958 20748393 27454437 41496786 54908874 82363311 164726622 271034663 542069326 813103989 1626207978 2439311967 4878623934 7317935901 8402074553 14635871802 16804149106 21953807703 25206223659 43907615406 50412447318 75618670977 151237341954 226856012931 453712025862 680568038793 1361136077586