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20608473600 = 2934521113139
BaseRepresentation
bin10011001100010111…
…000101101000000000
31222012020110221010000
4103030113011220000
5314201232123400
613244543040000
71326461064261
oct231427055000
958166427100
1020608473600
118815a45270
123bb18a0000
131c3577c3a0
14dd7036968
158093ae600
hex4cc5c5a00

20608473600 has 1200 divisors, whose sum is σ = 90252660960. Its totient is φ = 4578508800.

The previous prime is 20608473559. The next prime is 20608473607. The reversal of 20608473600 is 637480602.

20608473600 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 8 + 47 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20608473607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148262331 + ... + 148262469.

Almost surely, 220608473600 is an apocalyptic number.

20608473600 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 20608473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45126330480).

20608473600 is an abundant number, since it is smaller than the sum of its proper divisors (69644187360).

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

20608473600 is a wasteful number, since it uses less digits than its factorization.

20608473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20608473600 in words is "twenty billion, six hundred eight million, four hundred seventy-three thousand, six hundred".