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20153629557 = 3217131723069
BaseRepresentation
bin10010110001001111…
…111111101101110101
31221000112121110101100
4102301033333231311
5312233312121212
613131454120313
71312266011325
oct226117775565
957015543340
1020153629557
1186022201a6
123aa54b0099
131b924778b9
14d92877285
157ce4b5bdc
hex4b13ffb75

20153629557 has 12 divisors (see below), whose sum is σ = 30823198380. Its totient is φ = 12645414528.

The previous prime is 20153629553. The next prime is 20153629571. The reversal of 20153629557 is 75592635102.

20153629557 is a `hidden beast` number, since 2 + 0 + 15 + 3 + 629 + 5 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14455493361 + 5698136196 = 120231^2 + 75486^2 .

It is not a de Polignac number, because 20153629557 - 22 = 20153629553 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153629553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65861382 + ... + 65861687.

It is an arithmetic number, because the mean of its divisors is an integer number (2568599865).

Almost surely, 220153629557 is an apocalyptic number.

It is an amenable number.

20153629557 is a deficient number, since it is larger than the sum of its proper divisors (10669568823).

20153629557 is a wasteful number, since it uses less digits than its factorization.

20153629557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131723092 (or 131723089 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 20153629557 in words is "twenty billion, one hundred fifty-three million, six hundred twenty-nine thousand, five hundred fifty-seven".

Divisors: 1 3 9 17 51 153 131723069 395169207 1185507621 2239292173 6717876519 20153629557