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20487338316 = 223317219179193
BaseRepresentation
bin10011000101001000…
…111111100101001100
31221212210112121202000
4103011020333211030
5313424224311231
613224534432300
71323460334214
oct230510774514
957783477660
1020487338316
118763628565
123b79202690
131c166487c3
14dc4d03244
157ed9326e6
hex4c523f94c

20487338316 has 288 divisors, whose sum is σ = 60034464000. Its totient is φ = 6023725056.

The previous prime is 20487338293. The next prime is 20487338329. The reversal of 20487338316 is 61383378402.

20487338316 is a `hidden beast` number, since 204 + 87 + 338 + 31 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 106151916 + ... + 106152108.

It is an arithmetic number, because the mean of its divisors is an integer number (208453000).

Almost surely, 220487338316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20487338316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30017232000).

20487338316 is an abundant number, since it is smaller than the sum of its proper divisors (39547125684).

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

20487338316 is a wasteful number, since it uses less digits than its factorization.

20487338316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20487338316 in words is "twenty billion, four hundred eighty-seven million, three hundred thirty-eight thousand, three hundred sixteen".