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5143813416 = 2333721972467
BaseRepresentation
bin1001100101001100…
…00101110100101000
3111021110222210111000
410302212011310220
541013304012131
62210225435000
7241316456400
oct46246056450
914243883430
105143813416
1121aa604175
12bb679ba60
1363c8a28a1
1436b219800
152018b2ce6
hex132985d28

5143813416 has 192 divisors, whose sum is σ = 16712308800. Its totient is φ = 1461608064.

The previous prime is 5143813397. The next prime is 5143813429. The reversal of 5143813416 is 6143183415.

5143813416 is a `hidden beast` number, since 514 + 3 + 8 + 134 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083815 + ... + 2086281.

It is an arithmetic number, because the mean of its divisors is an integer number (87043275).

Almost surely, 25143813416 is an apocalyptic number.

5143813416 is a gapful number since it is divisible by the number (56) 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 5143813416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356154400).

5143813416 is an abundant number, since it is smaller than the sum of its proper divisors (11568495384).

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

5143813416 is a wasteful number, since it uses less digits than its factorization.

5143813416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2676 counting only the distinct ones).

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

The square root of 5143813416 is about 71720.3835461021. The cubic root of 5143813416 is about 1726.2157267350.

The spelling of 5143813416 in words is "five billion, one hundred forty-three million, eight hundred thirteen thousand, four hundred sixteen".