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5142234006 = 232713291031051
BaseRepresentation
bin1001100101000000…
…00100001110010110
3111021101000112221100
410302200010032112
541012402442011
62210131530530
7241300160610
oct46240041626
914241015840
105142234006
1121a9725578
12bb6159a46
1363c46ba20
1436ad27db0
1520169ed56
hex132804396

5142234006 has 192 divisors, whose sum is σ = 14336824320. Its totient is φ = 1295481600.

The previous prime is 5142233983. The next prime is 5142234017. The reversal of 5142234006 is 6004322415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4892181 + ... + 4893231.

It is an arithmetic number, because the mean of its divisors is an integer number (74670960).

Almost surely, 25142234006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142234006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168412160).

5142234006 is an abundant number, since it is smaller than the sum of its proper divisors (9194590314).

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

5142234006 is a wasteful number, since it uses less digits than its factorization.

5142234006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5142234006 is about 71709.3718142894. The cubic root of 5142234006 is about 1726.0390302353.

The spelling of 5142234006 in words is "five billion, one hundred forty-two million, two hundred thirty-four thousand, six".