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55501010010 = 232519213072
BaseRepresentation
bin110011101100000111…
…100011010001011010
312022020221221102201100
4303230013203101122
51402131224310020
641255151132230
74003236541545
oct635407432132
9168227842640
1055501010010
11215a0967316
12a90b214076
135306648334
14298716b85c
15169c7b3a90
hexcec1e345a

55501010010 has 108 divisors (see below), whose sum is σ = 152413844778. Its totient is φ = 14010579936.

The previous prime is 55501009997. The next prime is 55501010023. The reversal of 55501010010 is 1001010555.

55501010010 is a `hidden beast` number, since 5 + 550 + 1 + 0 + 100 + 10 = 666.

55501010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55501009997) and next prime (55501010023).

It can be written as a sum of positive squares in only one way, i.e., 49950909009 + 5550101001 = 223497^2 + 74499^2 .

It is a super-2 number, since 2×555010100102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 42463777 + ... + 42465083.

Almost surely, 255501010010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55501010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76206922389).

55501010010 is an abundant number, since it is smaller than the sum of its proper divisors (96912834768).

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

55501010010 is a wasteful number, since it uses less digits than its factorization.

55501010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 55501010010 its reverse (1001010555), we get a palindrome (56502020565).

The spelling of 55501010010 in words is "fifty-five billion, five hundred one million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1307 1710 1805 2166 2614 3249 3610 3921 5415 6498 6535 7842 10830 11763 13070 16245 19605 23526 24833 32490 39210 49666 58815 74499 117630 124165 148998 223497 248330 372495 446994 471827 744990 943654 1117485 1415481 1708249 2234970 2359135 2830962 3416498 4246443 4718270 5124747 7077405 8492886 8541245 10249494 14154810 15374241 17082490 21232215 25623735 30748482 32456731 42464430 51247470 64913462 76871205 97370193 153742410 162283655 194740386 292110579 324567310 486850965 584221158 616677889 973701930 1233355778 1460552895 1850033667 2921105790 3083389445 3700067334 5550101001 6166778890 9250168335 11100202002 18500336670 27750505005 55501010010