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20433413000 = 235371113137149
BaseRepresentation
bin10011000001111011…
…010010001110001000
31221202001001221010002
4103001323102032020
5313321423204000
613215330542132
71322234100440
oct230173221610
957661057102
1020433413000
118736146690
123b63137948
131c08417830
14dbbaa7120
157e8d2e8d5
hex4c1ed2388

20433413000 has 512 divisors, whose sum is σ = 65100672000. Its totient is φ = 5796864000.

The previous prime is 20433412999. The next prime is 20433413027. The reversal of 20433413000 is 31433402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137136926 + ... + 137137074.

It is an arithmetic number, because the mean of its divisors is an integer number (127149750).

Almost surely, 220433413000 is an apocalyptic number.

20433413000 is a gapful number since it is divisible by the number (20) 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 20433413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550336000).

20433413000 is an abundant number, since it is smaller than the sum of its proper divisors (44667259000).

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

20433413000 is a wasteful number, since it uses less digits than its factorization.

20433413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20433413000 its reverse (31433402), we get a palindrome (20464846402).

The spelling of 20433413000 in words is "twenty billion, four hundred thirty-three million, four hundred thirteen thousand".