Search a number
-
+
151519991028 = 223715329117673
BaseRepresentation
bin1000110100011101001…
…0111001010011110100
3112111002200121001120120
42031013102321103310
54440303104203103
6153335103131540
713642543446660
oct2150722712364
9474080531516
10151519991028
11592940a298a
12254478a3bb0
1311399450a33
1474955b98a0
153e1c277253
hex23474b94f4

151519991028 has 48 divisors (see below), whose sum is σ = 404083102080. Its totient is φ = 43288233984.

The previous prime is 151519990991. The next prime is 151519991047. The reversal of 151519991028 is 820199915151.

It is a happy number.

151519991028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1515199910282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228800 + ... + 1346472.

It is an arithmetic number, because the mean of its divisors is an integer number (8418397960).

Almost surely, 2151519991028 is an apocalyptic number.

It is an amenable number.

151519991028 is an abundant number, since it is smaller than the sum of its proper divisors (252563111052).

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

151519991028 is a wasteful number, since it uses less digits than its factorization.

151519991028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133016 (or 133014 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 51.

The spelling of 151519991028 in words is "one hundred fifty-one billion, five hundred nineteen million, nine hundred ninety-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 15329 30658 45987 61316 91974 107303 117673 183948 214606 235346 321909 353019 429212 470692 643818 706038 823711 1287636 1412076 1647422 2471133 3294844 4942266 9884532 1803809417 3607618834 5411428251 7215237668 10822856502 12626665919 21645713004 25253331838 37879997757 50506663676 75759995514 151519991028