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47128359672 = 233217319919013
BaseRepresentation
bin101011111001000100…
…011011001011111000
311111122110022201122200
4223321010123023320
51233004330002142
633352300150200
73255612306342
oct537104331370
9144573281580
1047128359672
1118a94804189
129173238360
1345a0b4b474
1423d11bc292
15135c70864c
hexaf911b2f8

47128359672 has 96 divisors (see below), whose sum is σ = 129029004000. Its totient is φ = 15539344128.

The previous prime is 47128359671. The next prime is 47128359689. The reversal of 47128359672 is 27695382174.

It is a happy number.

47128359672 is a `hidden beast` number, since 47 + 1 + 2 + 8 + 3 + 596 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47128359671) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2469238 + ... + 2488250.

It is an arithmetic number, because the mean of its divisors is an integer number (1344052125).

Almost surely, 247128359672 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 47128359672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64514502000).

47128359672 is an abundant number, since it is smaller than the sum of its proper divisors (81900644328).

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

47128359672 is a wasteful number, since it uses less digits than its factorization.

47128359672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19397 (or 19390 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 47128359672 in words is "forty-seven billion, one hundred twenty-eight million, three hundred fifty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 199 346 398 519 597 692 796 1038 1194 1384 1557 1592 1791 2076 2388 3114 3582 4152 4776 6228 7164 12456 14328 19013 34427 38026 57039 68854 76052 103281 114078 137708 152104 171117 206562 228156 275416 309843 342234 413124 456312 619686 684468 826248 1239372 1368936 2478744 3289249 3783587 6578498 7567174 9867747 11350761 13156996 15134348 19735494 22701522 26313992 29603241 30268696 34052283 39470988 45403044 59206482 68104566 78941976 90806088 118412964 136209132 236825928 272418264 654560551 1309121102 1963681653 2618242204 3927363306 5236484408 5891044959 7854726612 11782089918 15709453224 23564179836 47128359672