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20042010000 = 243254832683
BaseRepresentation
bin10010101010100110…
…001100110110010000
31220201202120121010200
4102222212030312100
5312021223310000
613112425455200
71306442163015
oct225246146620
956652517120
1020042010000
118555212831
123a74041500
131b752c631c
14d81add70c
157c47b8500
hex4aa98cd90

20042010000 has 300 divisors, whose sum is σ = 70960697808. Its totient is φ = 5278176000.

The previous prime is 20042009969. The next prime is 20042010013. The reversal of 20042010000 is 1024002.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7468659 + ... + 7471341.

Almost surely, 220042010000 is an apocalyptic number.

20042010000 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 20042010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35480348904).

20042010000 is an abundant number, since it is smaller than the sum of its proper divisors (50918687808).

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

20042010000 is a wasteful number, since it uses less digits than its factorization.

20042010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20042010000 its reverse (1024002), we get a palindrome (20043034002).

The spelling of 20042010000 in words is "twenty billion, forty-two million, ten thousand".