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47343172896 = 25362029457
BaseRepresentation
bin101100000101110111…
…110111110100100000
311112012102112101000000
4230011313313310200
51233424323013041
633425452300000
73264131221065
oct540567676440
9145172471000
1047343172896
1119094a94578
129213171600
1346064c1096
142411938c6c
1513714dbbb6
hexb05df7d20

47343172896 has 84 divisors (see below), whose sum is σ = 139746448422. Its totient is φ = 15781049856.

The previous prime is 47343172847. The next prime is 47343172901. The reversal of 47343172896 is 69827134374.

47343172896 is a `hidden beast` number, since 4 + 7 + 343 + 17 + 289 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25033568400 + 22309604496 = 158220^2 + 149364^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 991401 + ... + 1038056.

Almost surely, 247343172896 is an apocalyptic number.

It is an amenable number.

47343172896 is an abundant number, since it is smaller than the sum of its proper divisors (92403275526).

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

47343172896 is an equidigital number, since it uses as much as digits as its factorization.

47343172896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029485 (or 2029462 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 47343172896 in words is "forty-seven billion, three hundred forty-three million, one hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 2029457 4058914 6088371 8117828 12176742 16235656 18265113 24353484 32471312 36530226 48706968 54795339 64942624 73060452 97413936 109590678 146120904 164386017 194827872 219181356 292241808 328772034 438362712 493158051 584483616 657544068 876725424 986316102 1315088136 1479474153 1753450848 1972632204 2630176272 2958948306 3945264408 5260352544 5917896612 7890528816 11835793224 15781057632 23671586448 47343172896