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20040402000 = 2435319367479
BaseRepresentation
bin10010101010100000…
…000100010001010000
31220201122112220101010
4102222200010101100
5312020320331000
613112331210520
71306422414663
oct225240042120
956648486333
1020040402000
118554314703
123a735a6a40
131b74b82448
14d818016da
157c459bd50
hex4aa804450

20040402000 has 320 divisors, whose sum is σ = 68338483200. Its totient is φ = 5038502400.

The previous prime is 20040401999. The next prime is 20040402017. The reversal of 20040402000 is 20404002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41837761 + ... + 41838239.

It is an arithmetic number, because the mean of its divisors is an integer number (213557760).

Almost surely, 220040402000 is an apocalyptic number.

20040402000 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 20040402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34169241600).

20040402000 is an abundant number, since it is smaller than the sum of its proper divisors (48298081200).

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

20040402000 is a wasteful number, since it uses less digits than its factorization.

20040402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20040402000 its reverse (20404002), we get a palindrome (20060806002).

The spelling of 20040402000 in words is "twenty billion, forty million, four hundred two thousand".