Search a number
-
+
154200552623312 = 24133181233055269
BaseRepresentation
bin100011000011111010011101…
…001010011100110011010000
3202012222102120122022100112012
4203003322131022130303100
5130202410212432421222
61303542431140522052
744323423305012266
oct4303723512346320
9665872518270465
10154200552623312
11451510a5a57108
12153651250b0328
136807085302050
142a114bcdb0436
1512c619c11e1e2
hex8c3e9d29ccd0

154200552623312 has 40 divisors (see below), whose sum is σ = 321846531206760. Its totient is φ = 71147112215040.

The previous prime is 154200552623303. The next prime is 154200552623363. The reversal of 154200552623312 is 213326255002451.

It can be written as a sum of positive squares in 4 ways, for example, as 14841016579216 + 139359536044096 = 3852404^2 + 11805064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 154200552623312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115865987 + ... + 117189282.

It is an arithmetic number, because the mean of its divisors is an integer number (8046163280169).

Almost surely, 2154200552623312 is an apocalyptic number.

It is an amenable number.

154200552623312 is an abundant number, since it is smaller than the sum of its proper divisors (167645978583448).

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

154200552623312 is a wasteful number, since it uses less digits than its factorization.

154200552623312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233058471 (or 233058465 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 154200552623312 in words is "one hundred fifty-four trillion, two hundred billion, five hundred fifty-two million, six hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 3181 6362 12724 25448 41353 50896 82706 165412 330824 661648 233055269 466110538 932221076 1864442152 3029718497 3728884304 6059436994 12118873988 24237747976 48475495952 741348810689 1482697621378 2965395242756 5930790485512 9637534538957 11861580971024 19275069077914 38550138155828 77100276311656 154200552623312