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152916694605 = 32511330072113
BaseRepresentation
bin1000111001101010001…
…0111001011001001101
3112121201000201221200200
42032122202321121031
510001133133211410
6154125435244113
714022263313033
oct2163242713115
9477630657620
10152916694605
115994053aa64
12257775a9639
131155c916c5c
147588cb0553
153e9ebba3c0
hex239a8b964d

152916694605 has 24 divisors (see below), whose sum is σ = 267401237688. Its totient is φ = 80833837056.

The previous prime is 152916694589. The next prime is 152916694607. The reversal of 152916694605 is 506496619251.

152916694605 is a `hidden beast` number, since 1 + 5 + 29 + 1 + 6 + 6 + 9 + 4 + 605 = 666.

152916694605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17549360676 + 135367333929 = 132474^2 + 367923^2 .

It is not a de Polignac number, because 152916694605 - 24 = 152916694589 is a prime.

It is a super-2 number, since 2×1529166946052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152916694607) 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 23 ways as a sum of consecutive naturals, for example, 15030972 + ... + 15041141.

It is an arithmetic number, because the mean of its divisors is an integer number (11141718237).

Almost surely, 2152916694605 is an apocalyptic number.

152916694605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152916694605 is a deficient number, since it is larger than the sum of its proper divisors (114484543083).

152916694605 is a wasteful number, since it uses less digits than its factorization.

152916694605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30072237 (or 30072234 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 152916694605 in words is "one hundred fifty-two billion, nine hundred sixteen million, six hundred ninety-four thousand, six hundred five".

Divisors: 1 3 5 9 15 45 113 339 565 1017 1695 5085 30072113 90216339 150360565 270649017 451081695 1353245085 3398148769 10194446307 16990743845 30583338921 50972231535 152916694605