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5374854144 = 210341143137
BaseRepresentation
bin1010000000101110…
…11100010000000000
3111212120201212210000
411000113130100000
542001430313034
62245201440000
7250123335462
oct50027342000
914776655700
105374854144
112308a68520
121060040000
1367870778a
1438db9c132
15216cee599
hex1405dc400

5374854144 has 440 divisors, whose sum is σ = 18047465568. Its totient is φ = 1579253760.

The previous prime is 5374854139. The next prime is 5374854167. The reversal of 5374854144 is 4414584735.

It is a self number, because there is not a number n which added to its sum of digits gives 5374854144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39232444 + ... + 39232580.

Almost surely, 25374854144 is an apocalyptic number.

5374854144 is a gapful number since it is divisible by the number (54) 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 5374854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023732784).

5374854144 is an abundant number, since it is smaller than the sum of its proper divisors (12672611424).

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

5374854144 is a wasteful number, since it uses less digits than its factorization.

5374854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 5374854144 is about 73313.3967566638. The cubic root of 5374854144 is about 1751.6831853484.

The spelling of 5374854144 in words is "five billion, three hundred seventy-four million, eight hundred fifty-four thousand, one hundred forty-four".