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5109735760 = 245611047077
BaseRepresentation
bin1001100001001000…
…00110000101010000
3111012002212110201121
410300210012011100
540431043021020
62203011212024
7240424015543
oct46044060520
914162773647
105109735760
112192349118
12ba72a7014
136358008ac
143668a885a
151ed8d0baa
hex130906150

5109735760 has 40 divisors (see below), whose sum is σ = 12074903496. Its totient is φ = 2010385920.

The previous prime is 5109735749. The next prime is 5109735767. The reversal of 5109735760 is 675379015.

It can be written as a sum of positive squares in 4 ways, for example, as 18627856 + 5091107904 = 4316^2 + 71352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×51097357602 = 52218799074045555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109735767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518659 + ... + 528418.

Almost surely, 25109735760 is an apocalyptic number.

It is an amenable number.

5109735760 is an abundant number, since it is smaller than the sum of its proper divisors (6965167736).

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

5109735760 is a wasteful number, since it uses less digits than its factorization.

5109735760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047151 (or 1047145 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 43.

The square root of 5109735760 is about 71482.4157398167. The cubic root of 5109735760 is about 1722.3952297065.

The spelling of 5109735760 in words is "five billion, one hundred nine million, seven hundred thirty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 1047077 2094154 4188308 5235385 8376616 10470770 16753232 20941540 41883080 63871697 83766160 127743394 255486788 319358485 510973576 638716970 1021947152 1277433940 2554867880 5109735760