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20532898980 = 22345112312109
BaseRepresentation
bin10011000111110110…
…110010110010100100
31221222222021100020000
4103013312302302210
5314022410231410
613233243141300
71324552522146
oct230766626244
957888240200
1020532898980
118787316a00
123b90514830
131c22c0b389
14dcada2c96
15802931dc0
hex4c7db2ca4

20532898980 has 540 divisors, whose sum is σ = 73829212380. Its totient is φ = 4772908800.

The previous prime is 20532898973. The next prime is 20532899033. The reversal of 20532898980 is 8989823502.

20532898980 is a `hidden beast` number, since 20 + 532 + 8 + 9 + 8 + 9 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10888087716 + 9644811264 = 104346^2 + 98208^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 188375166 + ... + 188375274.

Almost surely, 220532898980 is an apocalyptic number.

20532898980 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 20532898980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36914606190).

20532898980 is an abundant number, since it is smaller than the sum of its proper divisors (53296313400).

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

20532898980 is a wasteful number, since it uses less digits than its factorization.

20532898980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 20532898980 in words is "twenty billion, five hundred thirty-two million, eight hundred ninety-eight thousand, nine hundred eighty".