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54153325210240 = 275174673484417
BaseRepresentation
bin11000101000000100011011…
…01101100110101010000000
321002202000012100021122212101
430110002031231212222000
524044222002223211430
6311101405534440144
714256306611260054
oct1424021555465200
9232660170248771
1054153325210240
1116289329341543
1260a733b063054
13242a837968c89
14d5306bb97c64
1563d9bb5cbdca
hex31408db66a80

54153325210240 has 64 divisors (see below), whose sum is σ = 129461301489960. Its totient is φ = 21661161357312.

The previous prime is 54153325210223. The next prime is 54153325210253. The reversal of 54153325210240 is 4201252335145.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50753313746496 + 3400011463744 = 7124136^2 + 1843912^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 54153325210240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111548512 + ... + 112032928.

Almost surely, 254153325210240 is an apocalyptic number.

It is an amenable number.

54153325210240 is an abundant number, since it is smaller than the sum of its proper divisors (75307976279720).

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

54153325210240 is a wasteful number, since it uses less digits than its factorization.

54153325210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659109 (or 659097 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 54153325210240 its reverse (4201252335145), we get a palindrome (58354577545385).

The spelling of 54153325210240 in words is "fifty-four trillion, one hundred fifty-three billion, three hundred twenty-five million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 174673 349346 484417 698692 873365 968834 1397384 1746730 1937668 2422085 2794768 3493460 3875336 4844170 5589536 6986920 7750672 9688340 11179072 13973840 15501344 19376680 22358144 27947680 31002688 38753360 55895360 62005376 77506720 111790720 155013440 310026880 84614570641 169229141282 338458282564 423072853205 676916565128 846145706410 1353833130256 1692291412820 2707666260512 3384582825640 5415332521024 6769165651280 10830665042048 13538331302560 27076662605120 54153325210240