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47097464352 = 25312730712583
BaseRepresentation
bin101011110111001110…
…100100011000100000
311111120022012002020120
4223313032210120200
51232423422324402
633345234040240
73255055561461
oct536716443040
9144508162216
1047097464352
1118a79322064
129164a19080
134597621b03
1423cb058d68
151359b543bc
hexaf73a4620

47097464352 has 96 divisors (see below), whose sum is σ = 125020127232. Its totient is φ = 15523570944.

The previous prime is 47097464329. The next prime is 47097464357. The reversal of 47097464352 is 25346479074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×470974643522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47097464295 and 47097464304.

It is not an unprimeable number, because it can be changed into a prime (47097464357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3736653 + ... + 3749235.

It is an arithmetic number, because the mean of its divisors is an integer number (1302292992).

Almost surely, 247097464352 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 47097464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62510063616).

47097464352 is an abundant number, since it is smaller than the sum of its proper divisors (77922662880).

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

47097464352 is a wasteful number, since it uses less digits than its factorization.

47097464352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13030 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 47097464352 in words is "forty-seven billion, ninety-seven million, four hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 307 381 508 614 762 921 1016 1228 1524 1842 2032 2456 3048 3684 4064 4912 6096 7368 9824 12192 12583 14736 25166 29472 37749 38989 50332 75498 77978 100664 116967 150996 155956 201328 233934 301992 311912 402656 467868 603984 623824 935736 1207968 1247648 1598041 1871472 3196082 3742944 3862981 4794123 6392164 7725962 9588246 11588943 12784328 15451924 19176492 23177886 25568656 30903848 38352984 46355772 51137312 61807696 76705968 92711544 123615392 153411936 185423088 370846176 490598587 981197174 1471795761 1962394348 2943591522 3924788696 5887183044 7849577392 11774366088 15699154784 23548732176 47097464352