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5086086504672 = 2534310631159073
BaseRepresentation
bin100101000000011001001…
…1000010010000011100000
3200000020002010001200012010
41022000302120102003200
51131312301121122142
614452303233032520
71033312651656255
oct112006230220340
920006063050163
105086086504672
111690aa7268698
126a18740b5740
132ab801191b24
1413824ca0b42c
158c47a213e9c
hex4a0326120e0

5086086504672 has 96 divisors (see below), whose sum is σ = 13674328512768. Its totient is φ = 1654375919616.

The previous prime is 5086086504671. The next prime is 5086086504673. The reversal of 5086086504672 is 2764056806805.

It is an interprime number because it is at equal distance from previous prime (5086086504671) and next prime (5086086504673).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086086504671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3808528 + ... + 4967600.

It is an arithmetic number, because the mean of its divisors is an integer number (142440922008).

Almost surely, 25086086504672 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 5086086504672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837164256384).

5086086504672 is an abundant number, since it is smaller than the sum of its proper divisors (8588242008096).

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

5086086504672 is a wasteful number, since it uses less digits than its factorization.

5086086504672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160192 (or 1160184 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 5086086504672 in words is "five trillion, eighty-six billion, eighty-six million, five hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1063 1376 2064 2126 3189 4128 4252 6378 8504 12756 17008 25512 34016 45709 51024 91418 102048 137127 182836 274254 365672 548508 731344 1097016 1159073 1462688 2194032 2318146 3477219 4388064 4636292 6954438 9272584 13908876 18545168 27817752 37090336 49840139 55635504 99680278 111271008 149520417 199360556 299040834 398721112 598081668 797442224 1196163336 1232094599 1594884448 2392326672 2464189198 3696283797 4784653344 4928378396 7392567594 9856756792 14785135188 19713513584 29570270376 39427027168 52980067757 59140540752 105960135514 118281081504 158940203271 211920271028 317880406542 423840542056 635760813084 847681084112 1271521626168 1695362168224 2543043252336 5086086504672