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5207008992 = 253316612647
BaseRepresentation
bin1001101100101110…
…01010011011100000
3111102212220110111220
410312113022123200
541130443241432
62220404135040
7243014563143
oct46627123340
914385813456
105207008992
112232247a19
121013997480
1364c9cb213
1437578a05a
152071e772c
hex1365ca6e0

5207008992 has 96 divisors (see below), whose sum is σ = 14135998464. Its totient is φ = 1676505600.

The previous prime is 5207008987. The next prime is 5207009021. The reversal of 5207008992 is 2998007025.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×52070089922 = 54225885285537712128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1965813 + ... + 1968459.

It is an arithmetic number, because the mean of its divisors is an integer number (147249984).

Almost surely, 25207008992 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 5207008992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067999232).

5207008992 is an abundant number, since it is smaller than the sum of its proper divisors (8928989472).

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

5207008992 is a wasteful number, since it uses less digits than its factorization.

5207008992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 5207008992 is about 72159.6077594661. The cubic root of 5207008992 is about 1733.2562539031.

The spelling of 5207008992 in words is "five billion, two hundred seven million, eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 661 744 992 1322 1488 1983 2644 2647 2976 3966 5288 5294 7932 7941 10576 10588 15864 15882 20491 21152 21176 31728 31764 40982 42352 61473 63456 63528 81964 82057 84704 122946 127056 163928 164114 245892 246171 254112 327856 328228 491784 492342 655712 656456 983568 984684 1312912 1749667 1967136 1969368 2625824 3499334 3938736 5249001 6998668 7877472 10498002 13997336 20996004 27994672 41992008 54239677 55989344 83984016 108479354 162719031 167968032 216958708 325438062 433917416 650876124 867834832 1301752248 1735669664 2603504496 5207008992