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516506001540 = 223526932001611
BaseRepresentation
bin1111000010000100010…
…10000010000010000100
31211101012012011110122220
413201002022002002010
531430301014022130
61033140220052340
752213333400664
oct7410212020204
91741165143586
10516506001540
1118a05a199791
12841289940b0
13399249aa9a9
141addb4701a4
15d67ec7a410
hex7842282084

516506001540 has 48 divisors (see below), whose sum is σ = 1451593120320. Its totient is φ = 137222903680.

The previous prime is 516506001527. The next prime is 516506001547. The reversal of 516506001540 is 45100605615.

It is not an unprimeable number, because it can be changed into a prime (516506001547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15984666 + ... + 16016945.

It is an arithmetic number, because the mean of its divisors is an integer number (30241523340).

Almost surely, 2516506001540 is an apocalyptic number.

It is an amenable number.

516506001540 is an abundant number, since it is smaller than the sum of its proper divisors (935087118780).

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

516506001540 is a wasteful number, since it uses less digits than its factorization.

516506001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32001892 (or 32001890 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 516506001540 in words is "five hundred sixteen billion, five hundred six million, one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 269 538 807 1076 1345 1614 2690 3228 4035 5380 8070 16140 32001611 64003222 96004833 128006444 160008055 192009666 320016110 384019332 480024165 640032220 960048330 1920096660 8608433359 17216866718 25825300077 34433733436 43042166795 51650600154 86084333590 103301200308 129126500385 172168667180 258253000770 516506001540