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20004926400 = 2637525717
BaseRepresentation
bin10010101000011000…
…101111001111000000
31220122011210120000000
4102220120233033000
5311432230121100
613105023000000
71305512032404
oct225030571700
956564716000
1020004926400
118536294328
123a63739000
131b6a711074
14d7ac09104
157c13e0900
hex4a862f3c0

20004926400 has 336 divisors, whose sum is σ = 73838592480. Its totient is φ = 5333713920.

The previous prime is 20004926387. The next prime is 20004926401. The reversal of 20004926400 is 462940002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004926401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3496342 + ... + 3502058.

Almost surely, 220004926400 is an apocalyptic number.

20004926400 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 20004926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36919296240).

20004926400 is an abundant number, since it is smaller than the sum of its proper divisors (53833666080).

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

20004926400 is an frugal number, since it uses more digits than its factorization.

20004926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

It can be divided in two parts, 2000 and 4926400, that added together give a square (4928400 = 22202).

The spelling of 20004926400 in words is "twenty billion, four million, nine hundred twenty-six thousand, four hundred".