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20003082564672 = 263247791972241
BaseRepresentation
bin1001000110001010101001…
…01000010111010001000000
32121211021110012212000102200
410203011110220113101000
510110212303114032142
6110313142252113200
74133114014261614
oct443052450272100
977737405760380
1020003082564672
1164122946a0549
1222b0893a65800
13b21389b15abc
144d22237d7344
1524a4d57d864c
hex123154a17440

20003082564672 has 504 divisors, whose sum is σ = 59846149608960. Its totient is φ = 6383916564480.

The previous prime is 20003082564649. The next prime is 20003082564691. The reversal of 20003082564672 is 27646528030002.

20003082564672 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 0 + 82 + 564 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83000342472 + ... + 83000342712.

Almost surely, 220003082564672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003082564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29923074804480).

20003082564672 is an abundant number, since it is smaller than the sum of its proper divisors (39843067044288).

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

20003082564672 is a wasteful number, since it uses less digits than its factorization.

20003082564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20003082564672 in words is "twenty trillion, three billion, eighty-two million, five hundred sixty-four thousand, six hundred seventy-two".