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20105236992 = 293193171313
BaseRepresentation
bin10010101110010111…
…011001001000000000
31220220011112212021010
4102232113121020000
5312133420040432
613123005000520
71311140460201
oct225627311000
956804485233
1020105236992
118587978145
123a91253140
131b85433049
14d8a27b5a8
157ca1073cc
hex4ae5d9200

20105236992 has 320 divisors, whose sum is σ = 59207639040. Its totient is φ = 6038323200.

The previous prime is 20105236979. The next prime is 20105236999. The reversal of 20105236992 is 29963250102.

It is a self number, because there is not a number n which added to its sum of digits gives 20105236992.

It is not an unprimeable number, because it can be changed into a prime (20105236999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64233828 + ... + 64234140.

It is an arithmetic number, because the mean of its divisors is an integer number (185023872).

Almost surely, 220105236992 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 20105236992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29603819520).

20105236992 is an abundant number, since it is smaller than the sum of its proper divisors (39102402048).

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

20105236992 is a wasteful number, since it uses less digits than its factorization.

20105236992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 20105236992 in words is "twenty billion, one hundred five million, two hundred thirty-six thousand, nine hundred ninety-two".