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5196137436756 = 22327191796062803
BaseRepresentation
bin100101110011101000111…
…1011010001011001010100
3200101202010202022021020200
41023213101323101121110
51140113142140434011
615015023402300500
71044260062315620
oct113472173213124
920352122267220
105196137436756
111723740135832
126bb067ab7730
132b8cbc0b2456
1413d6cc88c180
159026ba1c856
hex4b9d1ed1654

5196137436756 has 144 divisors (see below), whose sum is σ = 15889396723200. Its totient is φ = 1398615667776.

The previous prime is 5196137436709. The next prime is 5196137436761. The reversal of 5196137436756 is 6576347316915.

5196137436756 is a `hidden beast` number, since 5 + 1 + 9 + 613 + 7 + 4 + 3 + 6 + 7 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5196137436693 and 5196137436702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2174350 + ... + 3888453.

It is an arithmetic number, because the mean of its divisors is an integer number (110343032800).

Almost surely, 25196137436756 is an apocalyptic number.

It is an amenable number.

5196137436756 is an abundant number, since it is smaller than the sum of its proper divisors (10693259286444).

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

5196137436756 is a wasteful number, since it uses less digits than its factorization.

5196137436756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063018 (or 6063013 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 5196137436756 in words is "five trillion, one hundred ninety-six billion, one hundred thirty-seven million, four hundred thirty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 179 228 252 266 342 358 399 532 537 684 716 798 1074 1197 1253 1596 1611 2148 2394 2506 3222 3401 3759 4788 5012 6444 6802 7518 10203 11277 13604 15036 20406 22554 23807 30609 40812 45108 47614 61218 71421 95228 122436 142842 214263 285684 428526 857052 6062803 12125606 18188409 24251212 36376818 42439621 54565227 72753636 84879242 109130454 115193257 127318863 169758484 218260908 230386514 254637726 345579771 381956589 460773028 509275452 691159542 763913178 806352799 1036739313 1085241737 1382319084 1527826356 1612705598 2073478626 2170483474 2419058397 3225411196 3255725211 4146957252 4340966948 4838116794 6511450422 7257175191 7596692159 9676233588 9767175633 13022900844 14514350382 15193384318 19534351266 20619593003 22790076477 29028700764 30386768636 39068702532 41239186006 45580152954 61858779009 68370229431 82478372012 91160305908 123717558018 136740458862 144337151021 185576337027 247435116036 273480917724 288674302042 371152674054 433011453063 577348604084 742305348108 866022906126 1299034359189 1732045812252 2598068718378 5196137436756