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20008970843400 = 23355271121925583
BaseRepresentation
bin1001000110010101100111…
…00110010111010100001000
32121211211122120200120100000
410203022303212113110020
510110311333013442100
6110315554434243000
74133412643646160
oct443126346272410
977754576616300
1020008970843400
116414836454500
1222b1a57a26460
13b21ab79c5bb6
144d26218435a0
1524a72c703900
hex1232b3997508

20008970843400 has 1728 divisors, whose sum is σ = 92149802035200. Its totient is φ = 3938727513600.

The previous prime is 20008970843383. The next prime is 20008970843429. The reversal of 20008970843400 is 434807980002.

20008970843400 is a `hidden beast` number, since 20 + 0 + 0 + 89 + 70 + 84 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 782107009 + ... + 782132591.

Almost surely, 220008970843400 is an apocalyptic number.

20008970843400 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 20008970843400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46074901017600).

20008970843400 is an abundant number, since it is smaller than the sum of its proper divisors (72140831191800).

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

20008970843400 is a wasteful number, since it uses less digits than its factorization.

20008970843400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25662 (or 25630 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20008970843400 in words is "twenty trillion, eight billion, nine hundred seventy million, eight hundred forty-three thousand, four hundred".