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54560380875 = 35371113145349
BaseRepresentation
bin110010110100000011…
…010101011111001011
312012211101222112010020
4302310003111133023
51343214424142000
641021550151523
73641025404550
oct626403253713
9165741875106
1054560380875
1121158a04770
12a6a81b25a3
1351b67c7950
1428d8276a27
151644e0dba0
hexcb40d57cb

54560380875 has 128 divisors (see below), whose sum is σ = 121898649600. Its totient is φ = 20930112000.

The previous prime is 54560380871. The next prime is 54560380933. The reversal of 54560380875 is 57808306545.

It is a happy number.

It is not a de Polignac number, because 54560380875 - 22 = 54560380871 is a prime.

It is a super-2 number, since 2×545603808752 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54560380871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302701 + ... + 448049.

It is an arithmetic number, because the mean of its divisors is an integer number (952333200).

Almost surely, 254560380875 is an apocalyptic number.

54560380875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54560380875 is an abundant number, since it is smaller than the sum of its proper divisors (67338268725).

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

54560380875 is a wasteful number, since it uses less digits than its factorization.

54560380875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145398 (or 145388 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 54560380875 in words is "fifty-four billion, five hundred sixty million, three hundred eighty thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 125 143 165 175 195 231 273 275 325 375 385 429 455 525 715 825 875 975 1001 1155 1365 1375 1625 1925 2145 2275 2625 3003 3575 4125 4875 5005 5775 6825 9625 10725 11375 15015 17875 25025 28875 34125 53625 75075 125125 145349 375375 436047 726745 1017443 1598839 1889537 2180235 3052329 3633725 4796517 5087215 5668611 7994195 9447685 10901175 11191873 13226759 15261645 18168625 20784907 23982585 25436075 28343055 33575619 39680277 39970975 47238425 54505875 55959365 62354721 66133795 76308225 103924535 119912925 127180375 141715275 145494349 167878095 198401385 199854875 236192125 279796825 311773605 330668975 381541125 436483047 519622675 599564625 708576375 727471745 839390475 992006925 1398984125 1558868025 1653344875 2182415235 2598113375 3637358725 4196952375 4960034625 7794340125 10912076175 18186793625 54560380875