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5130429984 = 2532149119557
BaseRepresentation
bin1001100011100110…
…00010011000100000
3111020112210211212100
410301303002120200
541001342224414
62205030530400
7241064635551
oct46163023040
914215724770
105130429984
1121a2aa2a89
12bb2206a00
13639b97cb4
14369534328
1520061c609
hex131cc2620

5130429984 has 72 divisors (see below), whose sum is σ = 14687700300. Its totient is φ = 1698651648.

The previous prime is 5130429923. The next prime is 5130430001. The reversal of 5130429984 is 4899240315.

5130429984 is a `hidden beast` number, since 5 + 130 + 429 + 98 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4653968400 + 476461584 = 68220^2 + 21828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16867 + ... + 102690.

Almost surely, 25130429984 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 5130429984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343850150).

5130429984 is an abundant number, since it is smaller than the sum of its proper divisors (9557270316).

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

5130429984 is a wasteful number, since it uses less digits than its factorization.

5130429984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119722 (or 119711 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5130429984 is about 71627.0199296327. The cubic root of 5130429984 is about 1724.7173081805.

The spelling of 5130429984 in words is "five billion, one hundred thirty million, four hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 14304 21456 42912 119557 239114 358671 478228 717342 956456 1076013 1434684 1912912 2152026 2869368 3825824 4304052 5738736 8608104 11477472 17216208 17813993 34432416 35627986 53441979 71255972 106883958 142511944 160325937 213767916 285023888 320651874 427535832 570047776 641303748 855071664 1282607496 1710143328 2565214992 5130429984