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166422368136 = 233597113911909
BaseRepresentation
bin1001101011111110001…
…0111100111110001000
3120220120021001020211110
42122333202330332020
510211313111240021
6204241532530320
715011046534363
oct2327742747610
9526507036743
10166422368136
11646410a7422
12283066209a0
13129029a925b
1480aa86b0da
1544e0706476
hex26bf8bcf88

166422368136 has 128 divisors (see below), whose sum is σ = 432190080000. Its totient is φ = 53374513920.

The previous prime is 166422368129. The next prime is 166422368137. The reversal of 166422368136 is 631863224661.

It is a super-2 number, since 2×1664223681362 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166422368137) 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, 13968550 + ... + 13980458.

It is an arithmetic number, because the mean of its divisors is an integer number (3376485000).

Almost surely, 2166422368136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166422368136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216095040000).

166422368136 is an abundant number, since it is smaller than the sum of its proper divisors (265767711864).

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

166422368136 is a wasteful number, since it uses less digits than its factorization.

166422368136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187 (or 12183 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 166422368136 in words is "one hundred sixty-six billion, four hundred twenty-two million, three hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 59 71 118 139 142 177 213 236 278 284 354 417 426 472 556 568 708 834 852 1112 1416 1668 1704 3336 4189 8201 8378 9869 11909 12567 16402 16756 19738 23818 24603 25134 29607 32804 33512 35727 39476 47636 49206 50268 59214 65608 71454 78952 95272 98412 100536 118428 142908 196824 236856 285816 582271 702631 845539 1164542 1405262 1655351 1691078 1746813 2107893 2329084 2536617 2810524 3310702 3382156 3493626 4215786 4658168 4966053 5073234 5621048 6621404 6764312 6987252 8431572 9932106 10146468 13242808 13974504 16863144 19864212 20292936 39728424 49886801 97665709 99773602 117529921 149660403 195331418 199547204 235059842 292997127 299320806 352589763 390662836 399094408 470119684 585994254 598641612 705179526 781325672 940239368 1171988508 1197283224 1410359052 2343977016 2820718104 6934265339 13868530678 20802796017 27737061356 41605592034 55474122712 83211184068 166422368136