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55552292062281 = 3474169012
BaseRepresentation
bin11001010000110010001101…
…01000101000010001001001
321021200202011202020002210000
430220121012220220101021
524240132043231443111
6314052212021313213
714462343404310000
oct1450310650502111
9237622152202700
1055552292062281
111677865a695443
1262924a6265809
1324cc7354caba1
14da0a610a7c37
15665098badc56
hex328646a28449

55552292062281 has 75 divisors (see below), whose sum is σ = 96816411121463. Its totient is φ = 31742288650800.

The previous prime is 55552292062259. The next prime is 55552292062327. The reversal of 55552292062281 is 18226029225555.

It is a happy number.

The square root of 55552292062281 is 7453341.

It is a perfect power (a square), and thus also a powerful number.

55552292062281 is a `hidden beast` number, since 5 + 5 + 5 + 5 + 2 + 2 + 9 + 2 + 0 + 622 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55539145146681 + 13146915600 = 7452459^2 + 114660^2 .

It is not a de Polignac number, because 55552292062281 - 25 = 55552292062249 is a prime.

It is a super-2 number, since 2×555522920622812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55552292062481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3286914931 + ... + 3286931831.

Almost surely, 255552292062281 is an apocalyptic number.

55552292062281 is the 7453341-st square number.

55552292062281 is the 3726671-st centered octagonal number.

It is an amenable number.

55552292062281 is a deficient number, since it is larger than the sum of its proper divisors (41264119059182).

55552292062281 is an frugal number, since it uses more digits than its factorization.

55552292062281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33842 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 55552292062281 in words is "fifty-five trillion, five hundred fifty-two billion, two hundred ninety-two million, sixty-two thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 2401 3087 3969 7203 9261 16901 21609 27783 50703 64827 118307 152109 194481 354921 456327 828149 1064763 1368981 2484447 3194289 5797043 7453341 9582867 17391129 22360023 40579301 52173387 67080069 121737903 156520161 285643801 365213709 469560483 856931403 1095641127 1999506607 2570794209 3286923381 5998519821 7712382627 13996546249 17995559463 23137147881 41989638747 53986678389 97975823743 125968916241 161960035167 293927471229 377906748723 685830766201 881782413687 1133720246169 2057492298603 2645347241061 6172476895809 7936041723183 18517430687427 55552292062281