Search a number
-
+
55012259850625 = 547211238532
BaseRepresentation
bin11001000001000100010100…
…01101001110100110000001
321012210010020222100022221201
430200202022031032212001
524202310102010210000
6313000141105021201
714405335040250100
oct1440421215164601
9235703228308851
1055012259850625
111658a628578900
1262058b2624801
13249083173000c
14d828712d0037
15655edd82e96a
hex32088a34e981

55012259850625 has 135 divisors (see below), whose sum is σ = 87920121401343. Its totient is φ = 34284456360000.

The previous prime is 55012259850623. The next prime is 55012259850679. The reversal of 55012259850625 is 52605895221055.

It is a happy number.

The square root of 55012259850625 is 7417025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 7587385939441 + 47424873911184 = 2754521^2 + 6886572^2 .

It is not a de Polignac number, because 55012259850625 - 21 = 55012259850623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (55012259850623) 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 134 ways as a sum of consecutive naturals, for example, 14277771199 + ... + 14277775051.

Almost surely, 255012259850625 is an apocalyptic number.

55012259850625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55012259850625 is the 7417025-th square number.

55012259850625 is the 3708513-rd centered octagonal number.

It is an amenable number.

55012259850625 is a deficient number, since it is larger than the sum of its proper divisors (32907861550718).

55012259850625 is an frugal number, since it uses more digits than its factorization.

55012259850625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 55.

The spelling of 55012259850625 in words is "fifty-five trillion, twelve billion, two hundred fifty-nine million, eight hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 125 175 245 275 385 539 605 625 847 875 1225 1375 1925 2695 3025 3853 4235 4375 5929 6125 6875 9625 13475 15125 19265 21175 26971 29645 30625 42383 48125 67375 75625 96325 105875 134855 148225 188797 211915 296681 336875 466213 481625 529375 674275 741125 943985 1059575 1483405 2076767 2331065 2408125 3263491 3371375 3705625 4719925 5297875 7417025 10383835 11655325 14845609 16317455 16856875 22844437 23599625 26489375 37085125 51919175 58276625 74228045 81587275 103919263 114222185 117998125 163301699 185425625 259595875 291383125 371140225 407936375 519596315 571110925 727434841 816508495 1143111893 1297979375 1796318689 1855701125 2039681875 2597981575 2855554625 3637174205 4082542475 5715559465 8001783251 8981593445 9278505625 12574230823 12989907875 14277773125 18185871025 20412712375 28577797325 40008916255 44907967225 62871154115 64949539375 88019615761 90929355125 102063561875 142888986625 200044581275 224539836125 314355770575 440098078805 454646775625 714444933125 1000222906375 1122699180625 1571778852875 2200490394025 5001114531875 7858894264375 11002451970125 55012259850625