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255045225213540 = 223252789508037977
BaseRepresentation
bin111001111111011001011000…
…000011001110111001100100
31020110001002022021010100002100
4321333121120003032321210
5231412130110123313130
62302234054200412100
7104502260303545446
oct7177313003167144
91213032267110070
10255045225213540
11742a1088688233
1224731581a77030
13ac4087a52b9a8
1446da37d10a496
151e744a19e8c60
hexe7f6580cee64

255045225213540 has 72 divisors (see below), whose sum is σ = 773914573406520. Its totient is φ = 67987674100224.

The previous prime is 255045225213521. The next prime is 255045225213589. The reversal of 255045225213540 is 45312522540552.

255045225213540 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 4 + 52 + 2 + 52 + 1 + 3 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29253970785636 + 225791254427904 = 5408694^2 + 15026352^2 .

It is a super-3 number, since 3×2550452252135403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253516969 + ... + 254521008.

It is an arithmetic number, because the mean of its divisors is an integer number (10748813519535).

Almost surely, 2255045225213540 is an apocalyptic number.

255045225213540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255045225213540 is an abundant number, since it is smaller than the sum of its proper divisors (518869348192980).

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

255045225213540 is a wasteful number, since it uses less digits than its factorization.

255045225213540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508040781 (or 508040776 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 255045225213540 in words is "two hundred fifty-five trillion, forty-five billion, two hundred twenty-five million, two hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2789 5578 8367 11156 13945 16734 25101 27890 33468 41835 50202 55780 83670 100404 125505 167340 251010 502020 508037977 1016075954 1524113931 2032151908 2540189885 3048227862 4572341793 5080379770 6096455724 7620569655 9144683586 10160759540 15241139310 18289367172 22861708965 30482278620 45723417930 91446835860 1416917917853 2833835835706 4250753753559 5667671671412 7084589589265 8501507507118 12752261260677 14169179178530 17003015014236 21253768767795 25504522521354 28338358357060 42507537535590 51009045042708 63761306303385 85015075071180 127522612606770 255045225213540