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5132013758352 = 24321317161262373
BaseRepresentation
bin100101010101110001111…
…0110110110011110010000
3200011121121212021220011200
41022223203312312132100
51133040331010231402
614525340425311200
71036530041123115
oct112534366663620
920147555256150
105132013758352
1116a9524a80098
126aa751035500
132b2c4021c590
1413a56848c90c
158d76726421c
hex4aae3db6790

5132013758352 has 120 divisors (see below), whose sum is σ = 16377161653944. Its totient is φ = 1486194020352.

The previous prime is 5132013758329. The next prime is 5132013758381. The reversal of 5132013758352 is 2538573102315.

5132013758352 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 0 + 13 + 7 + 583 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41557268736 + 5090456489616 = 203856^2 + 2256204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5132013758298 and 5132013758307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80599363 + ... + 80663010.

Almost surely, 25132013758352 is an apocalyptic number.

5132013758352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5132013758352 is an abundant number, since it is smaller than the sum of its proper divisors (11245147895592).

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

5132013758352 is a wasteful number, since it uses less digits than its factorization.

5132013758352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161262417 (or 161262408 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 5132013758352 in words is "five trillion, one hundred thirty-two billion, thirteen million, seven hundred fifty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 161262373 322524746 483787119 645049492 967574238 1290098984 1451361357 1935148476 2096410849 2580197968 2741460341 2902722714 3870296952 4192821698 5482920682 5805445428 6289232547 7740593904 8224381023 8385643396 10965841364 11610890856 12578465094 16448762046 16771286792 18867697641 21931682728 23221781712 24673143069 25156930188 32897524092 33542573584 35638984433 37735395282 43863365456 49346286138 50313860376 65795048184 71277968866 75470790564 98692572276 100627720752 106916953299 131590096368 142555937732 150941581128 197385144552 213833906598 285111875464 301883162256 320750859897 394770289104 427667813196 570223750928 641501719794 855335626392 1283003439588 1710671252784 2566006879176 5132013758352