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20608823040 = 2835132931409
BaseRepresentation
bin10011001100011000…
…011010111100000000
31222012021010200110020
4103030120122330000
5314201324314130
613244554333440
71326464051121
oct231430327400
958167120406
1020608823040
118816163863
123bb1a2a280
131c35872460
14dd70c8048
1580942ce10
hex4cc61af00

20608823040 has 288 divisors, whose sum is σ = 71174859840. Its totient is φ = 5052039168.

The previous prime is 20608823003. The next prime is 20608823051. The reversal of 20608823040 is 4032880602.

It is a junction number, because it is equal to n+sod(n) for n = 20608822992 and 20608823010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14625856 + ... + 14627264.

It is an arithmetic number, because the mean of its divisors is an integer number (247134930).

Almost surely, 220608823040 is an apocalyptic number.

20608823040 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 20608823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35587429920).

20608823040 is an abundant number, since it is smaller than the sum of its proper divisors (50566036800).

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

20608823040 is a wasteful number, since it uses less digits than its factorization.

20608823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 20608823040 in words is "twenty billion, six hundred eight million, eight hundred twenty-three thousand, forty".