Search a number
-
+
14575557150 = 2345272112607
BaseRepresentation
bin11011001001100010…
…10101101000011110
31101121210111000120000
431210301111220132
5214322320312100
610410152435130
71024124122500
oct154461255036
941553430500
1014575557150
1161aa581900
1229a93a8aa6
1314b392a03b
149c3ad9d70
155a4923900
hex364c55a1e

14575557150 has 540 divisors, whose sum is σ = 51867867744. Its totient is φ = 3023697600.

The previous prime is 14575557137. The next prime is 14575557163. The reversal of 14575557150 is 5175557541.

14575557150 is a `hidden beast` number, since 1 + 4 + 5 + 75 + 5 + 571 + 5 + 0 = 666.

14575557150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14575557137) and next prime (14575557163).

It is a super-2 number, since 2×145755571502 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14575557096 and 14575557105.

It is a congruent number.

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 269 ways as a sum of consecutive naturals, for example, 24012147 + ... + 24012753.

Almost surely, 214575557150 is an apocalyptic number.

14575557150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14575557150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933933872).

14575557150 is an abundant number, since it is smaller than the sum of its proper divisors (37292310594).

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

14575557150 is a wasteful number, since it uses less digits than its factorization.

14575557150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 612500, while the sum is 45.

The spelling of 14575557150 in words is "fourteen billion, five hundred seventy-five million, five hundred fifty-seven thousand, one hundred fifty".