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5456544306320 = 2451801304912421
BaseRepresentation
bin100111101100111001101…
…1000101001010010010000
3201022122021221202212121102
41033121303120221102100
51203400000320300240
615334411333243532
71102136153223152
oct117316330512220
921278257685542
105456544306320
111814120011128
127416217935a8
1330771c236b13
1414c153494ad2
1596e0d2b3815
hex4f673629490

5456544306320 has 80 divisors (see below), whose sum is σ = 12698695081200. Its totient is φ = 2180514816000.

The previous prime is 5456544306281. The next prime is 5456544306337. The reversal of 5456544306320 is 236034456545.

It can be written as a sum of positive squares in 8 ways, for example, as 219458519296 + 5237085787024 = 468464^2 + 2288468^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439293710 + ... + 439306130.

It is an arithmetic number, because the mean of its divisors is an integer number (158733688515).

Almost surely, 25456544306320 is an apocalyptic number.

It is an amenable number.

5456544306320 is an abundant number, since it is smaller than the sum of its proper divisors (7242150774880).

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

5456544306320 is a wasteful number, since it uses less digits than its factorization.

5456544306320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17284 (or 17278 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 47.

The spelling of 5456544306320 in words is "five trillion, four hundred fifty-six billion, five hundred forty-four million, three hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1801 3049 3602 6098 7204 9005 12196 12421 14408 15245 18010 24392 24842 28816 30490 36020 48784 49684 60980 62105 72040 99368 121960 124210 144080 198736 243920 248420 496840 993680 5491249 10982498 21964996 22370221 27456245 37871629 43929992 44740442 54912490 75743258 87859984 89480884 109824980 111851105 151486516 178961768 189358145 219649960 223702210 302973032 357923536 378716290 439299920 447404420 605946064 757432580 894808840 1514865160 1789617680 3029730320 68206803829 136413607658 272827215316 341034019145 545654430632 682068038290 1091308861264 1364136076580 2728272153160 5456544306320