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20619583488 = 21332739953
BaseRepresentation
bin10011001101000001…
…011110000000000000
31222020000101101000100
4103031001132000000
5314212103132423
613250021122400
71326654365520
oct231501360000
958200341010
1020619583488
118821243299
123bb5559400
131c37b6c19a
14dd86c9680
1580a356343
hex4cd05e000

20619583488 has 168 divisors, whose sum is σ = 68074903728. Its totient is φ = 5891162112.

The previous prime is 20619583463. The next prime is 20619583507. The reversal of 20619583488 is 88438591602.

20619583488 is a `hidden beast` number, since 2 + 0 + 6 + 19 + 583 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×206195834882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496120 + ... + 536072.

Almost surely, 220619583488 is an apocalyptic number.

20619583488 is a gapful number since it is divisible by the number (28) 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 20619583488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34037451864).

20619583488 is an abundant number, since it is smaller than the sum of its proper divisors (47455320240).

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

20619583488 is an equidigital number, since it uses as much as digits as its factorization.

20619583488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39992 (or 39965 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 20619583488 in words is "twenty billion, six hundred nineteen million, five hundred eighty-three thousand, four hundred eighty-eight".