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20832463512 = 23327193170177
BaseRepresentation
bin10011011001101101…
…100010101010011000
31222202211221210111200
4103121231202222120
5320131102313022
613323103554200
71335151006140
oct233155425230
958684853450
1020832463512
1189204231a3
1240548bb960
131c6ccb5bb3
141018aa1920
1581dda6bac
hex4d9b62a98

20832463512 has 192 divisors, whose sum is σ = 70065715200. Its totient is φ = 5456885760.

The previous prime is 20832463507. The next prime is 20832463523. The reversal of 20832463512 is 21536423802.

20832463512 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 2 + 4 + 635 + 12 = 666.

It is a super-3 number, since 3×208324635123 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261768 + ... + 331944.

It is an arithmetic number, because the mean of its divisors is an integer number (364925600).

Almost surely, 220832463512 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 20832463512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35032857600).

20832463512 is an abundant number, since it is smaller than the sum of its proper divisors (49233251688).

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

20832463512 is a wasteful number, since it uses less digits than its factorization.

20832463512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70246 (or 70239 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20832463512 in words is "twenty billion, eight hundred thirty-two million, four hundred sixty-three thousand, five hundred twelve".