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166163644440 = 233252320068073
BaseRepresentation
bin1001101011000000100…
…0000000000000011000
3120212220020012201122100
42122300020000000120
510210300343110230
6204200131323400
715001455450033
oct2326010000030
9525806181570
10166163644440
1164519055492
1228253a50560
1312891200c01
14808436001a
1544c7b4c660
hex26b0200018

166163644440 has 96 divisors (see below), whose sum is σ = 563511517920. Its totient is φ = 42383768064.

The previous prime is 166163644397. The next prime is 166163644441. The reversal of 166163644440 is 44446361661.

It is a happy number.

166163644440 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 636 + 4 + 4 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×1661636444402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166163644441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10025757 + ... + 10042316.

It is an arithmetic number, because the mean of its divisors is an integer number (5869911645).

Almost surely, 2166163644440 is an apocalyptic number.

166163644440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166163644440 is an abundant number, since it is smaller than the sum of its proper divisors (397347873480).

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

166163644440 is a wasteful number, since it uses less digits than its factorization.

166163644440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20068113 (or 20068106 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 166163644440 in words is "one hundred sixty-six billion, one hundred sixty-three million, six hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 20068073 40136146 60204219 80272292 100340365 120408438 160544584 180612657 200680730 240816876 301021095 361225314 401361460 461565679 481633752 602042190 722450628 802722920 903063285 923131358 1204084380 1384697037 1444901256 1806126570 1846262716 2307828395 2408168760 2769394074 3612253140 3692525432 4154091111 4615656790 5538788148 6923485185 7224506280 8308182222 9231313580 11077576296 13846970370 16616364444 18462627160 20770455555 27693940740 33232728888 41540911110 55387881480 83081822220 166163644440