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54098808480 = 2532537568617
BaseRepresentation
bin110010011000100010…
…100100111010100000
312011122020110012211100
4302120202210322200
51341243243332410
640504101114400
73623422166463
oct623042447240
9164566405740
1054098808480
1120a41404582
12a5996b8a00
135141ca87a2
142892c452da
1516196368c0
hexc988a4ea0

54098808480 has 72 divisors (see below), whose sum is σ = 184612188852. Its totient is φ = 14426348544.

The previous prime is 54098808469. The next prime is 54098808481. The reversal of 54098808480 is 8480889045.

54098808480 is a `hidden beast` number, since 5 + 409 + 8 + 80 + 84 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51258771216 + 2840037264 = 226404^2 + 53292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (54098808481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18782869 + ... + 18785748.

Almost surely, 254098808480 is an apocalyptic number.

It is an amenable number.

54098808480 is an abundant number, since it is smaller than the sum of its proper divisors (130513380372).

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

54098808480 is a wasteful number, since it uses less digits than its factorization.

54098808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37568638 (or 37568627 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 54098808480 in words is "fifty-four billion, ninety-eight million, eight hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 37568617 75137234 112705851 150274468 187843085 225411702 300548936 338117553 375686170 450823404 563529255 601097872 676235106 751372340 901646808 1127058510 1202195744 1352470212 1502744680 1690587765 1803293616 2254117020 2704940424 3005489360 3381175530 3606587232 4508234040 5409880848 6010978720 6762351060 9016468080 10819761696 13524702120 18032936160 27049404240 54098808480