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5132876249536 = 26727743994219
BaseRepresentation
bin100101010110001011101…
…0000111111100111000000
3200011200211222012222122121
41022230113100333213000
51133044112304441121
614530002155414024
71036560313150510
oct112542720774700
920150758188577
105132876249536
1116a9927913522
126aa951a54314
132b3049b122a9
1413a60ac43840
158d7b7d32141
hex4ab1743f9c0

5132876249536 has 112 divisors (see below), whose sum is σ = 11709390246400. Its totient is φ = 2186846512128.

The previous prime is 5132876249519. The next prime is 5132876249537. The reversal of 5132876249536 is 6359426782315.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5132876249537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54431035 + ... + 54525253.

It is an arithmetic number, because the mean of its divisors is an integer number (104548127200).

Almost surely, 25132876249536 is an apocalyptic number.

5132876249536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5132876249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854695123200).

5132876249536 is an abundant number, since it is smaller than the sum of its proper divisors (6576513996864).

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

5132876249536 is a wasteful number, since it uses less digits than its factorization.

5132876249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94954 (or 94944 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 61.

The spelling of 5132876249536 in words is "five trillion, one hundred thirty-two billion, eight hundred seventy-six million, two hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 277 439 448 554 878 1108 1756 1939 2216 3073 3512 3878 4432 6146 7024 7756 8864 12292 14048 15512 17728 24584 28096 31024 49168 62048 94219 98336 121603 124096 188438 196672 243206 376876 486412 659533 753752 851221 972824 1319066 1507504 1702442 1945648 2638132 3015008 3404884 3891296 5276264 6030016 6809768 7782592 10552528 13619536 21105056 26098663 27239072 41362141 42210112 52197326 54478144 82724282 104394652 165448564 182690641 208789304 289534987 330897128 365381282 417578608 579069974 661794256 730762564 835157216 1158139948 1323588512 1461525128 1670314432 2316279896 2647177024 2923050256 4632559792 5846100512 9265119584 11457313057 11692201024 18530239168 22914626114 45829252228 80201191399 91658504456 160402382798 183317008912 320804765596 366634017824 641609531192 733268035648 1283219062384 2566438124768 5132876249536