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58161331206 = 2351161178351
BaseRepresentation
bin110110001010101011…
…110111110000000110
312120010100210202100000
4312022223313300012
51423103300044311
642415143102130
74126202105166
oct661253676006
9176110722300
1058161331206
1122736611a80
12b332141946
13563b84b4a4
142b5a5d25a6
1517a610c056
hexd8aaf7c06

58161331206 has 96 divisors (see below), whose sum is σ = 144901725696. Its totient is φ = 17335620000.

The previous prime is 58161331187. The next prime is 58161331211. The reversal of 58161331206 is 60213316185.

58161331206 is a `hidden beast` number, since 5 + 8 + 1 + 613 + 31 + 2 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236931 + ... + 415281.

It is an arithmetic number, because the mean of its divisors is an integer number (1509392976).

Almost surely, 258161331206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58161331206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72450862848).

58161331206 is an abundant number, since it is smaller than the sum of its proper divisors (86740394490).

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

58161331206 is a wasteful number, since it uses less digits than its factorization.

58161331206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178440 (or 178428 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 58161331206 in words is "fifty-eight billion, one hundred sixty-one million, three hundred thirty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 81 99 122 162 183 198 243 297 366 486 549 594 671 891 1098 1342 1647 1782 2013 2673 3294 4026 4941 5346 6039 9882 12078 14823 18117 29646 36234 54351 108702 163053 178351 326106 356702 535053 1070106 1605159 1961861 3210318 3923722 4815477 5885583 9630954 10879411 11771166 14446431 17656749 21758822 28892862 32638233 35313498 43339293 52970247 65276466 86678586 97914699 105940494 119673521 158910741 195829398 239347042 293744097 317821482 359020563 476732223 587488194 718041126 881232291 953464446 1077061689 1762464582 2154123378 2643696873 3231185067 5287393746 6462370134 9693555201 19387110402 29080665603 58161331206