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20291136768 = 283372181331
BaseRepresentation
bin10010111001011100…
…100010110100000000
31221101010100112211000
4102321130202310000
5313024012334033
613153245252000
71315555550100
oct227134426400
957333315730
1020291136768
1186728aa421
123b23564000
131bb4ac1406
14da6c2d200
157db5c8a13
hex4b9722d00

20291136768 has 432 divisors, whose sum is σ = 70398793920. Its totient is φ = 5748019200.

The previous prime is 20291136703. The next prime is 20291136779. The reversal of 20291136768 is 86763119202.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61302363 + ... + 61302693.

Almost surely, 220291136768 is an apocalyptic number.

20291136768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20291136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35199396960).

20291136768 is an abundant number, since it is smaller than the sum of its proper divisors (50107657152).

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

20291136768 is a wasteful number, since it uses less digits than its factorization.

20291136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20291136768 in words is "twenty billion, two hundred ninety-one million, one hundred thirty-six thousand, seven hundred sixty-eight".