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20610541008 = 2432613233489
BaseRepresentation
bin10011001100011110…
…111110010111010000
31222012101100222001200
4103030132332113100
5314202244303013
613245055231200
71326514464561
oct231436762720
958171328050
1020610541008
118817127572
123bb2518500
131c360243c5
14dd7414168
1580966be73
hex4cc7be5d0

20610541008 has 60 divisors (see below), whose sum is σ = 57775232580. Its totient is φ = 6858943488.

The previous prime is 20610540989. The next prime is 20610541027. The reversal of 20610541008 is 80014501602.

20610541008 is a `hidden beast` number, since 2 + 0 + 610 + 5 + 41 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20610540989) and next prime (20610541027).

It can be written as a sum of positive squares in 2 ways, for example, as 556582464 + 20053958544 = 23592^2 + 141612^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28473 + ... + 205016.

It is an arithmetic number, because the mean of its divisors is an integer number (962920543).

Almost surely, 220610541008 is an apocalyptic number.

It is an amenable number.

20610541008 is an abundant number, since it is smaller than the sum of its proper divisors (37164691572).

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

20610541008 is a wasteful number, since it uses less digits than its factorization.

20610541008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234116 (or 234107 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20610541008 in words is "twenty billion, six hundred ten million, five hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 613 1226 1839 2452 3678 4904 5517 7356 9808 11034 14712 22068 29424 44136 88272 233489 466978 700467 933956 1400934 1867912 2101401 2801868 3735824 4202802 5603736 8405604 11207472 16811208 33622416 143128757 286257514 429386271 572515028 858772542 1145030056 1288158813 1717545084 2290060112 2576317626 3435090168 5152635252 6870180336 10305270504 20610541008