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5184365712640 = 28543175953549
BaseRepresentation
bin100101101110001010001…
…0001101101010100000000
3200100121202100201201112121
41023130110101231110000
51134420040110301030
615005355325334024
71043362262314342
oct113342421552400
920317670651477
105184365712640
11171974a31a214
126b8921707314
132b7b6432521a
1413ccd32d3292
158eccd33e47a
hex4b71446d500

5184365712640 has 144 divisors (see below), whose sum is σ = 12714432192000. Its totient is φ = 2024330305536.

The previous prime is 5184365712607. The next prime is 5184365712671. The reversal of 5184365712640 is 462175634815.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96788586 + ... + 96842134.

It is an arithmetic number, because the mean of its divisors is an integer number (88294668000).

Almost surely, 25184365712640 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 5184365712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357216096000).

5184365712640 is an abundant number, since it is smaller than the sum of its proper divisors (7530066479360).

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

5184365712640 is a wasteful number, since it uses less digits than its factorization.

5184365712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55372 (or 55358 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 5184365712640 in words is "five trillion, one hundred eighty-four billion, three hundred sixty-five million, seven hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 640 688 860 1280 1376 1720 1759 2752 3440 3518 5504 6880 7036 8795 11008 13760 14072 17590 27520 28144 35180 53549 55040 56288 70360 75637 107098 112576 140720 151274 214196 225152 267745 281440 302548 378185 428392 450304 535490 562880 605096 756370 856784 1070980 1125760 1210192 1512740 1713568 2141960 2251520 2302607 2420384 3025480 3427136 4283920 4605214 4840768 6050960 6854272 8567840 9210428 9681536 11513035 12101920 13708544 17135680 18420856 19363072 23026070 24203840 34271360 36841712 46052140 48407680 68542720 73683424 92104280 94192691 96815360 147366848 184208560 188385382 294733696 368417120 376770764 470963455 589467392 736834240 753541528 941926910 1473668480 1507083056 1883853820 2947336960 3014166112 3767707640 4050285713 6028332224 7535415280 8100571426 12056664448 15070830560 16201142852 20251428565 24113328896 30141661120 32402285704 40502857130 60283322240 64804571408 81005714260 120566644480 129609142816 162011428520 259218285632 324022857040 518436571264 648045714080 1036873142528 1296091428160 2592182856320 5184365712640