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5413894200 = 23355211131941
BaseRepresentation
bin1010000101011000…
…10111100000111000
3111222022012022200000
411002230113200320
542041424103300
62253114313000
7251106225051
oct50254274070
914868168600
105413894200
112329002930
121071128760
136838263c0
14395041728
1521a461c00
hex142b17838

5413894200 has 1152 divisors, whose sum is σ = 23885971200. Its totient is φ = 1119744000.

The previous prime is 5413894133. The next prime is 5413894207. The reversal of 5413894200 is 24983145.

5413894200 is a `hidden beast` number, since 541 + 3 + 8 + 94 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413894207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 132046180 + ... + 132046220.

It is an arithmetic number, because the mean of its divisors is an integer number (20734350).

Almost surely, 25413894200 is an apocalyptic number.

5413894200 is a gapful number since it is divisible by the number (50) 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 5413894200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942985600).

5413894200 is an abundant number, since it is smaller than the sum of its proper divisors (18472077000).

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

5413894200 is a wasteful number, since it uses less digits than its factorization.

5413894200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5413894200 is about 73579.1696066217. The cubic root of 5413894200 is about 1755.9140537668.

The spelling of 5413894200 in words is "five billion, four hundred thirteen million, eight hundred ninety-four thousand, two hundred".