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20989320480 = 2533567127571
BaseRepresentation
bin10011100011000011…
…111001110100100000
32000011210002221211000
4103203003321310200
5320441231223410
613350425552000
71342064165112
oct234303716440
960153087730
1020989320480
1189a0a19157
124099345600
131c96645b7b
1410318533b2
1582ca3cdc0
hex4e30f9d20

20989320480 has 384 divisors, whose sum is σ = 75277762560. Its totient is φ = 5460618240.

The previous prime is 20989320467. The next prime is 20989320511. The reversal of 20989320480 is 8402398902.

20989320480 is a `hidden beast` number, since 209 + 89 + 320 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36758595 + ... + 36759165.

It is an arithmetic number, because the mean of its divisors is an integer number (196035840).

Almost surely, 220989320480 is an apocalyptic number.

20989320480 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 20989320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37638881280).

20989320480 is an abundant number, since it is smaller than the sum of its proper divisors (54288442080).

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

20989320480 is a wasteful number, since it uses less digits than its factorization.

20989320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20989320480 in words is "twenty billion, nine hundred eighty-nine million, three hundred twenty thousand, four hundred eighty".