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46727733137340 = 22351519475446237
BaseRepresentation
bin10101001111111101001011…
…11011110100111110111100
320010110010110001202022100110
422213332211323310332330
522111041344140343330
6243214231350030020
712561652534132233
oct1247764573647674
9203403401668313
1046727733137340
1113986136191732
1252a8193348310
13200c538917418
14b778c4933b1a
1556076785cdb0
hex2a7fa5ef4fbc

46727733137340 has 96 divisors (see below), whose sum is σ = 131843226622464. Its totient is φ = 12365134214400.

The previous prime is 46727733137273. The next prime is 46727733137341. The reversal of 46727733137340 is 4373133772764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46727733137341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5856702 + ... + 11302938.

It is an arithmetic number, because the mean of its divisors is an integer number (1373366943984).

Almost surely, 246727733137340 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 46727733137340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65921613311232).

46727733137340 is an abundant number, since it is smaller than the sum of its proper divisors (85115493485124).

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

46727733137340 is a wasteful number, since it uses less digits than its factorization.

46727733137340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447347 (or 5447345 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 57.

The spelling of 46727733137340 in words is "forty-six trillion, seven hundred twenty-seven billion, seven hundred thirty-three million, one hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 947 1510 1812 1894 2265 2841 3020 3788 4530 4735 5682 9060 9470 11364 14205 18940 28410 56820 142997 285994 428991 571988 714985 857982 1429970 1715964 2144955 2859940 4289910 5446237 8579820 10892474 16338711 21784948 27231185 32677422 54462370 65354844 81693555 108924740 163387110 326774220 822381787 1644763574 2467145361 3289527148 4111908935 4934290722 5157586439 8223817870 9868581444 10315172878 12335726805 15472759317 16447635740 20630345756 24671453610 25787932195 30945518634 49342907220 51575864390 61891037268 77363796585 103151728780 154727593170 309455186340 778795552289 1557591104578 2336386656867 3115182209156 3893977761445 4672773313734 7787955522890 9345546627468 11681933284335 15575911045780 23363866568670 46727733137340