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636420096 = 216321383
BaseRepresentation
bin100101111011110…
…000000000000000
31122100112111020200
4211323300000000
52300410420341
6143052405200
721525324114
oct4573600000
91570474220
10636420096
112a7273924
12159176800
13a1b0ab50
1460747744
153ad13db6
hex25ef0000

636420096 has 204 divisors, whose sum is σ = 2003813448. Its totient is φ = 193462272.

The previous prime is 636420061. The next prime is 636420101. The reversal of 636420096 is 690024636.

636420096 = 1632 + 1642 + ... + 12412.

636420096 is a `hidden beast` number, since 6 + 3 + 642 + 0 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 636420096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7667671 + ... + 7667753.

Almost surely, 2636420096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 636420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001906724).

636420096 is an abundant number, since it is smaller than the sum of its proper divisors (1367393352).

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

636420096 is an equidigital number, since it uses as much as digits as its factorization.

636420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 636420096 is about 25227.3679958889. The cubic root of 636420096 is about 860.1640646066.

The spelling of 636420096 in words is "six hundred thirty-six million, four hundred twenty thousand, ninety-six".