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2166142345158 = 2311532677231323
BaseRepresentation
bin11111100001011000001…
…001010001111111000110
321200002012011222110111010
4133201120021101333012
5240442224420021113
64335040112023050
7312333012065061
oct37413011217706
97602164873433
102166142345158
11765723978860
122ab990831a86
1312936021864c
1476bb00678d8
153b52dd1e1c3
hex1f858251fc6

2166142345158 has 64 divisors (see below), whose sum is σ = 4817120585472. Its totient is φ = 643778378880.

The previous prime is 2166142345153. The next prime is 2166142345243. The reversal of 2166142345158 is 8515432416612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166142345153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9248485 + ... + 9479807.

It is an arithmetic number, because the mean of its divisors is an integer number (75267509148).

Almost surely, 22166142345158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166142345158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408560292736).

2166142345158 is an abundant number, since it is smaller than the sum of its proper divisors (2650978240314).

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

2166142345158 is a wasteful number, since it uses less digits than its factorization.

2166142345158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234069.

The product of its digits is 1382400, while the sum is 48.

The spelling of 2166142345158 in words is "two trillion, one hundred sixty-six billion, one hundred forty-two million, three hundred forty-five thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1749 2677 3498 5354 8031 16062 29447 58894 88341 141881 176682 231323 283762 425643 462646 693969 851286 1387938 1560691 2544553 3121382 4682073 5089106 7633659 9364146 12260119 15267318 24520238 36780357 73560714 134861309 269722618 404583927 619251671 809167854 1238503342 1857755013 3715510026 6811768381 13623536762 20435305143 32820338563 40870610286 65640677126 98461015689 196922031378 361023724193 722047448386 1083071172579 2166142345158