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5463345636 = 22327311793907
BaseRepresentation
bin1010001011010010…
…00000100111100100
3112002202020201021200
411011221000213210
542142104030021
62302042242500
7252246446250
oct50551004744
915082221250
105463345636
112353a09491
1210857b6430
13690b4bbc8
1439b835260
1521e97e126
hex145a409e4

5463345636 has 144 divisors (see below), whose sum is σ = 16387338240. Its totient is φ = 1501778880.

The previous prime is 5463345619. The next prime is 5463345689. The reversal of 5463345636 is 6365433645.

5463345636 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 3 + 4 + 5 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5463345591 and 5463345600.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1396395 + ... + 1400301.

It is an arithmetic number, because the mean of its divisors is an integer number (113800960).

Almost surely, 25463345636 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 5463345636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193669120).

5463345636 is an abundant number, since it is smaller than the sum of its proper divisors (10923992604).

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

5463345636 is a wasteful number, since it uses less digits than its factorization.

5463345636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4129 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

The square root of 5463345636 is about 73914.4480869606. The cubic root of 5463345636 is about 1761.2441310867.

The spelling of 5463345636 in words is "five billion, four hundred sixty-three million, three hundred forty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 179 186 217 252 279 358 372 434 537 558 651 716 868 1074 1116 1253 1302 1611 1953 2148 2506 2604 3222 3759 3906 3907 5012 5549 6444 7518 7812 7814 11098 11277 11721 15036 15628 16647 22196 22554 23442 27349 33294 35163 38843 45108 46884 49941 54698 66588 70326 77686 82047 99882 109396 116529 121117 140652 155372 164094 199764 233058 242234 246141 328188 349587 363351 466116 484468 492282 699174 699353 726702 847819 984564 1090053 1398348 1398706 1453404 1695638 2098059 2180106 2543457 2797412 3391276 4196118 4360212 4895471 5086914 6294177 7630371 8392236 9790942 10173828 12588354 14686413 15260742 19581884 21679943 25176708 29372826 30521484 43359886 44059239 58745652 65039829 86719772 88118478 130079658 151759601 176236956 195119487 260159316 303519202 390238974 455278803 607038404 780477948 910557606 1365836409 1821115212 2731672818 5463345636