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20492801280 = 2833572329127
BaseRepresentation
bin10011000101011101…
…110101010100000000
31221220011211011112000
4103011131311110000
5313432124120110
613225251504000
71323554636220
oct230535652400
957804734460
1020492801280
118766719a06
123b7abb8000
131c1780c223
14dc5926080
157ee1611c0
hex4c5775500

20492801280 has 1152 divisors, whose sum is σ = 90420019200. Its totient is φ = 4291854336.

The previous prime is 20492801279. The next prime is 20492801281. The reversal of 20492801280 is 8210829402.

20492801280 is a `hidden beast` number, since 2 + 0 + 492 + 80 + 12 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (20492801279) and next prime (20492801281).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20492801281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161360577 + ... + 161360703.

It is an arithmetic number, because the mean of its divisors is an integer number (78489600).

Almost surely, 220492801280 is an apocalyptic number.

20492801280 is a gapful number since it is divisible by the number (20) 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 20492801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45210009600).

20492801280 is an abundant number, since it is smaller than the sum of its proper divisors (69927217920).

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

20492801280 is a wasteful number, since it uses less digits than its factorization.

20492801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 20492801280 in words is "twenty billion, four hundred ninety-two million, eight hundred one thousand, two hundred eighty".