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20154020832 = 2534115313337
BaseRepresentation
bin10010110001010001…
…011111001111100000
31221000120100100010000
4102301101133033200
5312233412131312
613131510340000
71312302231141
oct226121371740
957016310100
1020154020832
118602468170
123aa565a600
131b92583a1a
14d92939ac8
157ce541adc
hex4b145f3e0

20154020832 has 240 divisors, whose sum is σ = 65885771952. Its totient is φ = 5991598080.

The previous prime is 20154020819. The next prime is 20154020849. The reversal of 20154020832 is 23802045102.

20154020832 is a `hidden beast` number, since 20 + 1 + 540 + 20 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20154020796 and 20154020805.

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 39 ways as a sum of consecutive naturals, for example, 1504468 + ... + 1517804.

Almost surely, 220154020832 is an apocalyptic number.

20154020832 is a gapful number since it is divisible by the number (22) 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 20154020832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32942885976).

20154020832 is an abundant number, since it is smaller than the sum of its proper divisors (45731751120).

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

20154020832 is a wasteful number, since it uses less digits than its factorization.

20154020832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13423 (or 13406 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20154020832 its reverse (23802045102), we get a palindrome (43956065934).

The spelling of 20154020832 in words is "twenty billion, one hundred fifty-four million, twenty thousand, eight hundred thirty-two".