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20042521200 = 24335213279139
BaseRepresentation
bin10010101010101000…
…001001101001110000
31220201210112120101000
4102222220021221300
5312021341134300
613112444442000
71306446422262
oct225250115160
956653476330
1020042521200
118555531909
123a74249300
131b75444c00
14d81bd3b32
157c4869c00
hex4aaa09a70

20042521200 has 720 divisors, whose sum is σ = 78786624000. Its totient is φ = 4836049920.

The previous prime is 20042521193. The next prime is 20042521207. The reversal of 20042521200 is 212524002.

20042521200 is a `hidden beast` number, since 20 + 0 + 425 + 21 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (20042521193) and next prime (20042521207).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20042521207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144190731 + ... + 144190869.

Almost surely, 220042521200 is an apocalyptic number.

20042521200 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 20042521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39393312000).

20042521200 is an abundant number, since it is smaller than the sum of its proper divisors (58744102800).

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

20042521200 is a wasteful number, since it uses less digits than its factorization.

20042521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The spelling of 20042521200 in words is "twenty billion, forty-two million, five hundred twenty-one thousand, two hundred".