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152524011461 = 5367131327881
BaseRepresentation
bin1000111000001100100…
…0111011011111000101
3112120200122211120200112
42032003020323133011
54444332121331321
6154022450522405
714006454464153
oct2160310733705
9476618746615
10152524011461
1159759912338
1225687b96405
13114c9467b73
14754ca923d3
153e7a49ea5b
hex238323b7c5

152524011461 has 16 divisors (see below), whose sum is σ = 158925716928. Its totient is φ = 146286940800.

The previous prime is 152524011391. The next prime is 152524011463. The reversal of 152524011461 is 164110425251.

It is a happy number.

152524011461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 152524011461 - 210 = 152524010437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152524011463) by changing a digit.

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, 301241 + ... + 629121.

It is an arithmetic number, because the mean of its divisors is an integer number (9932857308).

Almost surely, 2152524011461 is an apocalyptic number.

It is an amenable number.

152524011461 is a deficient number, since it is larger than the sum of its proper divisors (6401705467).

152524011461 is a wasteful number, since it uses less digits than its factorization.

152524011461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328132.

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 152524011461 in words is "one hundred fifty-two billion, five hundred twenty-four million, eleven thousand, four hundred sixty-one".

Divisors: 1 53 67 131 3551 6943 8777 327881 465181 17377693 21968027 42952411 1164305431 2276477783 2877811537 152524011461