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5274446144 = 2611231127173
BaseRepresentation
bin1001110100110000…
…11010100101000000
3111121120210121220012
410322120122211000
541300224234034
62231213404052
7244464024002
oct47230324500
914546717805
105274446144
112267318500
121032499628
13660980366
14380702372
1520d0b8cce
hex13a61a940

5274446144 has 168 divisors, whose sum is σ = 12038283264. Its totient is φ = 2288563200.

The previous prime is 5274446143. The next prime is 5274446161. The reversal of 5274446144 is 4416444725.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5274446141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30488042 + ... + 30488214.

It is an arithmetic number, because the mean of its divisors is an integer number (71656448).

Almost surely, 25274446144 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 5274446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019141632).

5274446144 is an abundant number, since it is smaller than the sum of its proper divisors (6763837120).

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

5274446144 is a wasteful number, since it uses less digits than its factorization.

5274446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its digits is 430080, while the sum is 41.

The square root of 5274446144 is about 72625.3822296310. The cubic root of 5274446144 is about 1740.7067794142.

The spelling of 5274446144 in words is "five billion, two hundred seventy-four million, four hundred forty-six thousand, one hundred forty-four".