Search a number
-
+
55505505150 = 2345229034721
BaseRepresentation
bin110011101100011000…
…101100101101111110
312022021021101210220000
4303230120230231332
51402133402131100
641255431335130
74003323003114
oct635430545576
9168237353800
1055505505150
11215a3457607
12a9108214a6
135307560394
1429879bbab4
15169cda0900
hexcec62cb7e

55505505150 has 120 divisors (see below), whose sum is σ = 154308878064. Its totient is φ = 14793235200.

The previous prime is 55505505103. The next prime is 55505505151. The reversal of 55505505150 is 5150550555.

It is a happy number.

55505505150 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 550 + 51 + 50 = 666.

It is a super-2 number, since 2×555055051502 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55505505151) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11754790 + ... + 11759510.

Almost surely, 255505505150 is an apocalyptic number.

55505505150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55505505150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77154439032).

55505505150 is an abundant number, since it is smaller than the sum of its proper divisors (98803372914).

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

55505505150 is a wasteful number, since it uses less digits than its factorization.

55505505150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 78125, while the sum is 36.

The spelling of 55505505150 in words is "fifty-five billion, five hundred five million, five hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 2903 4050 4721 5806 8709 9442 14163 14515 17418 23605 26127 28326 29030 42489 43545 47210 52254 70815 72575 78381 84978 87090 118025 127467 130635 141630 145150 156762 212445 217725 235143 236050 254934 261270 354075 382401 391905 424890 435450 470286 637335 653175 708150 764802 783810 1062225 1175715 1274670 1306350 1912005 1959525 2124450 2351430 3186675 3824010 3919050 5878575 6373350 9560025 11757150 13705063 19120050 27410126 41115189 68525315 82230378 123345567 137050630 205575945 246691134 342626575 370036701 411151890 616727835 685253150 740073402 1027879725 1110110103 1233455670 1850183505 2055759450 2220220206 3083639175 3700367010 5550550515 6167278350 9250917525 11101101030 18501835050 27752752575 55505505150