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6116545540 = 2257210216113
BaseRepresentation
bin1011011001001001…
…10001010000000100
3120210021100201002201
411230210301100010
5100011313424130
62450534444244
7304400531200
oct55444612004
916707321081
106116545540
1126596a3216
121228503684
13766283521
144204a9b00
1525bea9bca
hex16c931404

6116545540 has 72 divisors (see below), whose sum is σ = 14958928152. Its totient is φ = 2094704640.

The previous prime is 6116545529. The next prime is 6116545571. The reversal of 6116545540 is 455456116.

It can be written as a sum of positive squares in 4 ways, for example, as 881733636 + 5234811904 = 29694^2 + 72352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6116545540.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997524 + ... + 1003636.

It is an arithmetic number, because the mean of its divisors is an integer number (207762891).

Almost surely, 26116545540 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 6116545540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479464076).

6116545540 is an abundant number, since it is smaller than the sum of its proper divisors (8842382612).

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

6116545540 is a wasteful number, since it uses less digits than its factorization.

6116545540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7157 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 6116545540 is about 78208.3469969798. The cubic root of 6116545540 is about 1828.8106319038.

The spelling of 6116545540 in words is "six billion, one hundred sixteen million, five hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1021 2042 4084 5105 6113 7147 10210 12226 14294 20420 24452 28588 30565 35735 42791 50029 61130 71470 85582 100058 122260 142940 171164 200116 213955 250145 299537 427910 500290 599074 855820 1000580 1198148 1497685 2995370 5990740 6241373 12482746 24965492 31206865 43689611 62413730 87379222 124827460 174758444 218448055 305827277 436896110 611654554 873792220 1223309108 1529136385 3058272770 6116545540