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54077765623460 = 225232916573244603
BaseRepresentation
bin11000100101110111101100…
…00000101001111010100100
321002110210011110120221200022
430102323312000221322210
524042002230444422320
6311002552122334312
714250663305342435
oct1422736600517244
9232423143527608
1054077765623460
111625a284987657
12609477235a398
132423685776b07
14d4d540a5748c
1563ba47d7b325
hex312ef6029ea4

54077765623460 has 96 divisors (see below), whose sum is σ = 122594976887040. Its totient is φ = 19975866527232.

The previous prime is 54077765623451. The next prime is 54077765623481. The reversal of 54077765623460 is 6432656777045.

It is a junction number, because it is equal to n+sod(n) for n = 54077765623393 and 54077765623402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220961519 + ... + 221206121.

It is an arithmetic number, because the mean of its divisors is an integer number (1277031009240).

Almost surely, 254077765623460 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 54077765623460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61297488443520).

54077765623460 is an abundant number, since it is smaller than the sum of its proper divisors (68517211263580).

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

54077765623460 is a wasteful number, since it uses less digits than its factorization.

54077765623460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261237 (or 261235 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 62.

The spelling of 54077765623460 in words is "fifty-four trillion, seventy-seven billion, seven hundred sixty-five million, six hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 16573 33146 66292 82865 165730 244603 331460 381179 480617 489206 762358 961234 978412 1223015 1524716 1905895 1922468 2403085 2446030 3811790 4806170 4892060 5625869 7093487 7623580 9612340 11054191 11251738 14186974 22108382 22503476 28129345 28373948 35467435 44216764 55270955 56258690 70934870 110541910 112517380 141869740 163150201 221083820 326300402 652600804 815751005 1631502010 3263004020 4053805519 8107611038 16215222076 20269027595 40538055190 81076110380 93237526937 117560360051 186475053874 235120720102 372950107748 466187634685 470241440204 587801800255 932375269370 1175603600510 1864750538740 2351207201020 2703888281173 5407776562346 10815553124692 13519441405865 27038882811730 54077765623460