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20603972928 = 2637112316167
BaseRepresentation
bin10011001100000101…
…111010110101000000
31222011221000021100110
4103030011322311000
5314144104113203
613244302351320
71326404610630
oct231405726500
958157007313
1020603972928
118813450900
123bb028b540
131c34864976
14dd65c46c0
15808cc0d03
hex4cc17ad40

20603972928 has 672 divisors, whose sum is σ = 72921554944. Its totient is φ = 5018112000.

The previous prime is 20603972927. The next prime is 20603972947. The reversal of 20603972928 is 82927930602.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20603972927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307521951 + ... + 307522017.

Almost surely, 220603972928 is an apocalyptic number.

20603972928 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 20603972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36460777472).

20603972928 is an abundant number, since it is smaller than the sum of its proper divisors (52317582016).

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

20603972928 is a wasteful number, since it uses less digits than its factorization.

20603972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 20603972928 in words is "twenty billion, six hundred three million, nine hundred seventy-two thousand, nine hundred twenty-eight".