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5147910144 = 213321341131
BaseRepresentation
bin1001100101101011…
…01110000000000000
3111021202200221010200
410302311232000000
541020331111034
62210453325200
7241366341246
oct46265560000
914252627120
105147910144
1122019520a3
12bb8036800
136406a84a0
1436b9a4796
15201e21a99
hex132d6e000

5147910144 has 336 divisors, whose sum is σ = 16530578064. Its totient is φ = 1533542400.

The previous prime is 5147910139. The next prime is 5147910149. The reversal of 5147910144 is 4410197415.

It is an interprime number because it is at equal distance from previous prime (5147910139) and next prime (5147910149).

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

It is a junction number, because it is equal to n+sod(n) for n = 5147910099 and 5147910108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5147910149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39296959 + ... + 39297089.

It is an arithmetic number, because the mean of its divisors is an integer number (49198149).

Almost surely, 25147910144 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 5147910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8265289032).

5147910144 is an abundant number, since it is smaller than the sum of its proper divisors (11382667920).

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

5147910144 is a wasteful number, since it uses less digits than its factorization.

5147910144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5147910144 is about 71748.9382778589. The cubic root of 5147910144 is about 1726.6738796742.

The spelling of 5147910144 in words is "five billion, one hundred forty-seven million, nine hundred ten thousand, one hundred forty-four".