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20631072384 = 2733133114813
BaseRepresentation
bin10011001101101101…
…010010111010000000
31222020211000001211000
4103031231102322000
5314223023304014
613251111252000
71330154136036
oct231555227200
958224001730
1020631072384
11882778004a
123bb937a000
131c3a362650
14dda03a556
1580b375509
hex4cdb52e80

20631072384 has 256 divisors, whose sum is σ = 67694054400. Its totient is φ = 6142832640.

The previous prime is 20631072373. The next prime is 20631072419. The reversal of 20631072384 is 48327013602.

It is a happy number.

20631072384 is a `hidden beast` number, since 206 + 3 + 1 + 0 + 72 + 384 = 666.

It is a super-2 number, since 2×206310723842 (a number of 21 digits) contains 22 as substring.

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

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, 1385362 + ... + 1400174.

It is an arithmetic number, because the mean of its divisors is an integer number (264429900).

Almost surely, 220631072384 is an apocalyptic number.

20631072384 is a gapful number since it is divisible by the number (24) 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 20631072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33847027200).

20631072384 is an abundant number, since it is smaller than the sum of its proper divisors (47062982016).

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

20631072384 is a wasteful number, since it uses less digits than its factorization.

20631072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14880 (or 14862 counting only the distinct ones).

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

Adding to 20631072384 its reverse (48327013602), we get a palindrome (68958085986).

The spelling of 20631072384 in words is "twenty billion, six hundred thirty-one million, seventy-two thousand, three hundred eighty-four".