Search a number
-
+
54053302126410 = 2345233328603717
BaseRepresentation
bin11000100101001010000111…
…10111110100011101001010
321002101110000120012112120000
430102211003313310131022
524041102130321021120
6310543424424543430
714246136134136546
oct1422450367643512
9232343016175500
1054053302126410
111624a97097a1a4
12608ba85621b76
132421287436582
14d4c29da48a26
1563b0b5332990
hex312943df474a

54053302126410 has 80 divisors (see below), whose sum is σ = 145405627474536. Its totient is φ = 14408034993792.

The previous prime is 54053302126387. The next prime is 54053302126457. The reversal of 54053302126410 is 1462120335045.

54053302126410 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 3 + 3 + 0 + 2 + 1 + 2 + 641 + 0 = 666.

54053302126410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38951940840201 + 15101361286209 = 6241149^2 + 3886047^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12412129 + ... + 16191588.

Almost surely, 254053302126410 is an apocalyptic number.

54053302126410 is an abundant number, since it is smaller than the sum of its proper divisors (91352325348126).

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

54053302126410 is a wasteful number, since it uses less digits than its factorization.

54053302126410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28606069 (or 28606060 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 54053302126410 in words is "fifty-four trillion, fifty-three billion, three hundred two million, one hundred twenty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2333 4666 6999 11665 13998 20997 23330 34995 41994 62991 69990 104985 125982 188973 209970 314955 377946 629910 944865 1889730 28603717 57207434 85811151 143018585 171622302 257433453 286037170 429055755 514866906 772300359 858111510 1287167265 1544600718 2316901077 2574334530 3861501795 4633802154 7723003590 11584505385 23169010770 66732471761 133464943522 200197415283 333662358805 400394830566 600592245849 667324717610 1000987076415 1201184491698 1801776737547 2001974152830 3002961229245 3603553475094 5405330212641 6005922458490 9008883687735 10810660425282 18017767375470 27026651063205 54053302126410