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20498329152 = 26357237727
BaseRepresentation
bin10011000101110010…
…111010111001000000
31221220120020000100000
4103011302322321000
5313440033013102
613230010200000
71323652631400
oct230562727100
957816200300
1020498329152
1187698550a4
123b80a23000
131c189c6362
14dc6564800
157ee8a401c
hex4c5cbae40

20498329152 has 504 divisors, whose sum is σ = 72894529344. Its totient is φ = 5690539008.

The previous prime is 20498329141. The next prime is 20498329193. The reversal of 20498329152 is 25192389402.

20498329152 is a `hidden beast` number, since 2 + 0 + 498 + 3 + 2 + 9 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 20498329098 and 20498329107.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28195413 + ... + 28196139.

Almost surely, 220498329152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20498329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36447264672).

20498329152 is an abundant number, since it is smaller than the sum of its proper divisors (52396200192).

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

20498329152 is an equidigital number, since it uses as much as digits as its factorization.

20498329152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20498329152 in words is "twenty billion, four hundred ninety-eight million, three hundred twenty-nine thousand, one hundred fifty-two".