Search a number
-
+
16133441166 = 235311070851
BaseRepresentation
bin11110000011010000…
…01100011010001110
31112122100220201200000
433001220030122032
5231020130104131
611224523345130
71110541662423
oct170150143216
945570821600
1016133441166
1169299a8157
1231630821a6
1316a16080bb
14ad0989d4a
156465a3ce6
hex3c1a0c68e

16133441166 has 48 divisors (see below), whose sum is σ = 37419852288. Its totient is φ = 5204331000.

The previous prime is 16133441161. The next prime is 16133441183. The reversal of 16133441166 is 66114433161.

16133441166 is a `hidden beast` number, since 1 + 613 + 34 + 4 + 1 + 1 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16133441166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16133441161) 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, 520360 + ... + 550491.

It is an arithmetic number, because the mean of its divisors is an integer number (779580256).

Almost surely, 216133441166 is an apocalyptic number.

16133441166 is an abundant number, since it is smaller than the sum of its proper divisors (21286411122).

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

16133441166 is a wasteful number, since it uses less digits than its factorization.

16133441166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070899 (or 1070887 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

It can be divided in two parts, 161334 and 41166, that added together give a square (202500 = 4502).

The spelling of 16133441166 in words is "sixteen billion, one hundred thirty-three million, four hundred forty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 5022 7533 15066 1070851 2141702 3212553 6425106 9637659 19275318 28912977 33196381 57825954 66392762 86738931 99589143 173477862 199178286 260216793 298767429 520433586 597534858 896302287 1792604574 2688906861 5377813722 8066720583 16133441166