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20746308384 = 253423438093
BaseRepresentation
bin10011010100100100…
…111000101100100000
31222112211211122220000
4103110210320230200
5314442023332014
613310345220000
71333053466044
oct232444705440
958484748800
1020746308384
11888682860a
12402ba91600
131c581ac029
14100b476024
15816539509
hex4d4938b20

20746308384 has 240 divisors, whose sum is σ = 65155793472. Its totient is φ = 6460134912.

The previous prime is 20746308367. The next prime is 20746308403. The reversal of 20746308384 is 48380364702.

20746308384 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 630 + 8 + 3 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2559442 + ... + 2567534.

Almost surely, 220746308384 is an apocalyptic number.

20746308384 is a gapful number since it is divisible by the number (24) 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 20746308384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32577896736).

20746308384 is an abundant number, since it is smaller than the sum of its proper divisors (44409485088).

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

20746308384 is a wasteful number, since it uses less digits than its factorization.

20746308384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20746308384 in words is "twenty billion, seven hundred forty-six million, three hundred eight thousand, three hundred eighty-four".