Search a number
-
+
149229654768 = 24322633940369
BaseRepresentation
bin1000101011111011000…
…1111101001011110000
3112021012001220220212200
42022332301331023300
54421110242423033
6152315525223200
713532023064535
oct2127661751360
9467161826780
10149229654768
11583192823a7
1224b08861b00
13110c2ab038c
147319344d8c
153d36164013
hex22bec7d2f0

149229654768 has 60 divisors (see below), whose sum is σ = 419223845040. Its totient is φ = 49554067968.

The previous prime is 149229654767. The next prime is 149229654793. The reversal of 149229654768 is 867456922941.

149229654768 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 29 + 6 + 547 + 68 = 666.

It is a super-3 number, since 3×1492296547683 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149229654767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1932313 + ... + 2008056.

It is an arithmetic number, because the mean of its divisors is an integer number (6987064084).

Almost surely, 2149229654768 is an apocalyptic number.

149229654768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149229654768 is an abundant number, since it is smaller than the sum of its proper divisors (269994190272).

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

149229654768 is a wasteful number, since it uses less digits than its factorization.

149229654768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940646 (or 3940637 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 149229654768 in words is "one hundred forty-nine billion, two hundred twenty-nine million, six hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 526 789 1052 1578 2104 2367 3156 4208 4734 6312 9468 12624 18936 37872 3940369 7880738 11821107 15761476 23642214 31522952 35463321 47284428 63045904 70926642 94568856 141853284 189137712 283706568 567413136 1036317047 2072634094 3108951141 4145268188 6217902282 8290536376 9326853423 12435804564 16581072752 18653706846 24871609128 37307413692 49743218256 74614827384 149229654768