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47006655488 = 2101310334283
BaseRepresentation
bin101011110001110100…
…001010010000000000
311111022222022111220022
4223301310022100000
51232232200433423
633332231433012
73252603656552
oct536164122000
9144288274808
1047006655488
1118a32039011
12913a525768
134581878960
1423bcd7b4d2
151351bb7dc8
hexaf1d0a400

47006655488 has 88 divisors (see below), whose sum is σ = 102181130688. Its totient is φ = 21484118016.

The previous prime is 47006655457. The next prime is 47006655533. The reversal of 47006655488 is 88455660074.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353995 + ... + 1388277.

Almost surely, 247006655488 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 47006655488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51090565344).

47006655488 is an abundant number, since it is smaller than the sum of its proper divisors (55174475200).

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

47006655488 is a wasteful number, since it uses less digits than its factorization.

47006655488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34419 (or 34401 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 47006655488 in words is "forty-seven billion, six million, six hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 256 412 416 512 824 832 1024 1339 1648 1664 2678 3296 3328 5356 6592 6656 10712 13184 13312 21424 26368 34283 42848 52736 68566 85696 105472 137132 171392 274264 342784 445679 548528 685568 891358 1097056 1371136 1782716 2194112 3531149 3565432 4388224 7062298 7130864 8776448 14124596 14261728 17552896 28249192 28523456 35105792 45904937 56498384 57046912 91809874 112996768 114093824 183619748 225993536 228187648 367239496 451987072 456375296 734478992 903974144 1468957984 1807948288 2937915968 3615896576 5875831936 11751663872 23503327744 47006655488