Search a number
-
+
166830318036 = 22341493455761
BaseRepresentation
bin1001101101011111011…
…1001010000111010100
3120221121200200020220000
42123113313022013110
510213132030134121
6204350224411300
715024132206604
oct2332767120724
9527550606800
10166830318036
11648304021a8
12283bb176b30
1312969372225
148108b00c04
15451643a526
hex26d7dca1d4

166830318036 has 60 divisors (see below), whose sum is σ = 439054562100. Its totient is φ = 55236867840.

The previous prime is 166830318029. The next prime is 166830318071. The reversal of 166830318036 is 630813038661.

166830318036 is a `hidden beast` number, since 166 + 8 + 303 + 180 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102944722500 + 63885595536 = 320850^2 + 252756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 166830317982 and 166830318000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1679605 + ... + 1776156.

It is an arithmetic number, because the mean of its divisors is an integer number (7317576035).

Almost surely, 2166830318036 is an apocalyptic number.

It is an amenable number.

166830318036 is an abundant number, since it is smaller than the sum of its proper divisors (272224244064).

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

166830318036 is a wasteful number, since it uses less digits than its factorization.

166830318036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455926 (or 3455915 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 166830318036 in words is "one hundred sixty-six billion, eight hundred thirty million, three hundred eighteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1788 2682 4023 5364 8046 12069 16092 24138 48276 3455761 6911522 10367283 13823044 20734566 31101849 41469132 62203698 93305547 124407396 186611094 279916641 373222188 514908389 559833282 1029816778 1119666564 1544725167 2059633556 3089450334 4634175501 6178900668 9268351002 13902526503 18536702004 27805053006 41707579509 55610106012 83415159018 166830318036