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20798631360 = 2633513238397
BaseRepresentation
bin10011010111101100…
…011110110111000000
31222200111021221112000
4103113230132313000
5320043422200420
613315454504000
71334260310133
oct232754366700
958614257460
1020798631360
118903315641
124045505000
131c65c9b880
1410143b621a
1581ae22690
hex4d7b1edc0

20798631360 has 896 divisors, whose sum is σ = 84306216960. Its totient is φ = 4788191232.

The previous prime is 20798631349. The next prime is 20798631361. The reversal of 20798631360 is 6313689702.

20798631360 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 8 + 631 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20798631361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214418832 + ... + 214418928.

It is an arithmetic number, because the mean of its divisors is an integer number (94091760).

Almost surely, 220798631360 is an apocalyptic number.

20798631360 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 20798631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42153108480).

20798631360 is an abundant number, since it is smaller than the sum of its proper divisors (63507585600).

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

20798631360 is a wasteful number, since it uses less digits than its factorization.

20798631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20798631360 in words is "twenty billion, seven hundred ninety-eight million, six hundred thirty-one thousand, three hundred sixty".