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20792808432 = 2433112616521
BaseRepresentation
bin10011010111010110…
…010001001111110000
31222200002100002222000
4103113112101033300
5320040424332212
613315130014000
71334156645514
oct232726211760
958602302860
1020792808432
1188aaaa8800
124043577300
131c64a10356
1410136dc144
1581a6721dc
hex4d75913f0

20792808432 has 240 divisors, whose sum is σ = 66687710880. Its totient is φ = 6196608000.

The previous prime is 20792808389. The next prime is 20792808433. The reversal of 20792808432 is 23480829702.

20792808432 is a `hidden beast` number, since 207 + 9 + 2 + 8 + 0 + 8 + 432 = 666.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20792808433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3185332 + ... + 3191852.

It is an arithmetic number, because the mean of its divisors is an integer number (277865462).

Almost surely, 220792808432 is an apocalyptic number.

20792808432 is a gapful number since it is divisible by the number (22) 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 20792808432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33343855440).

20792808432 is an abundant number, since it is smaller than the sum of its proper divisors (45894902448).

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

20792808432 is a wasteful number, since it uses less digits than its factorization.

20792808432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20792808432 in words is "twenty billion, seven hundred ninety-two million, eight hundred eight thousand, four hundred thirty-two".