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5349719040 = 210351923797
BaseRepresentation
bin1001111101101111…
…00011110000000000
3111210211102212220020
410332313203300000
541424012002130
62242503013440
7246366601341
oct47667436000
914724385806
105349719040
1122a5860106
12105373a280
13673446c33
1438a6d80c8
152149d6e10
hex13ede3c00

5349719040 has 352 divisors, whose sum is σ = 18817989120. Its totient is φ = 1291124736.

The previous prime is 5349719027. The next prime is 5349719047. The reversal of 5349719040 is 409179435.

It is a junction number, because it is equal to n+sod(n) for n = 5349718983 and 5349719001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349719047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6711922 + ... + 6712718.

Almost surely, 25349719040 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 5349719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408994560).

5349719040 is an abundant number, since it is smaller than the sum of its proper divisors (13468270080).

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

5349719040 is a wasteful number, since it uses less digits than its factorization.

5349719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 5349719040 is about 73141.7735634022. The cubic root of 5349719040 is about 1748.9483793368.

The spelling of 5349719040 in words is "five billion, three hundred forty-nine million, seven hundred nineteen thousand, forty".