Search a number
-
+
10148844825 = 3252712894999
BaseRepresentation
bin10010111001110101…
…10001010100011001
3222012021211201211200
421130322301110121
5131241101013300
64355020544413
7506332520610
oct113472612431
928167751750
1010148844825
114338838369
121b729b2109
13c597a3632
146c3c2a877
153e5eb0200
hex25ceb1519

10148844825 has 72 divisors (see below), whose sum is σ = 20794800000. Its totient is φ = 4634945280.

The previous prime is 10148844817. The next prime is 10148844847. The reversal of 10148844825 is 52844884101.

10148844825 is a `hidden beast` number, since 101 + 4 + 88 + 448 + 25 = 666.

10148844825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10148844825 - 23 = 10148844817 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2027676 + ... + 2032674.

Almost surely, 210148844825 is an apocalyptic number.

10148844825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10148844825 is an abundant number, since it is smaller than the sum of its proper divisors (10645955175).

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

10148844825 is a wasteful number, since it uses less digits than its factorization.

10148844825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 10148844825 in words is "ten billion, one hundred forty-eight million, eight hundred forty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1289 1575 3867 4999 6445 9023 11601 14997 19335 24995 27069 32225 34993 44991 45115 58005 74985 81207 96675 104979 124975 135345 174965 224955 225575 290025 314937 374925 406035 524895 676725 874825 1124775 1574685 2030175 2624475 6443711 7873425 19331133 32218555 45105977 57993399 96655665 135317931 161092775 225529885 289966995 405953793 483278325 676589655 1127649425 1449834975 2029768965 3382948275 10148844825