Search a number
-
+
55051353440420 = 225173134733109297
BaseRepresentation
bin11001000010001101001000…
…10111011100000010100100
321012220212011110211110101212
430201012210113130002210
524203430132440043140
6313030124224210552
714411220600263411
oct1441064427340244
9235825143743355
1055051353440420
11165a51699164a7
1262113a2a69a58
132494421a8327c
14d846dd353108
1565702a970765
hex3211a45dc0a4

55051353440420 has 96 divisors (see below), whose sum is σ = 122826453509088. Its totient is φ = 20654446804992.

The previous prime is 55051353440393. The next prime is 55051353440443. The reversal of 55051353440420 is 2404435315055.

It can be written as a sum of positive squares in 16 ways, for example, as 43591395254884 + 11459958185536 = 6602378^2 + 3385256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503631212 + ... + 503740508.

It is an arithmetic number, because the mean of its divisors is an integer number (1279442224053).

Almost surely, 255051353440420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55051353440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61413226754544).

55051353440420 is an abundant number, since it is smaller than the sum of its proper divisors (67775100068668).

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

55051353440420 is a wasteful number, since it uses less digits than its factorization.

55051353440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114369 (or 114367 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 41.

Adding to 55051353440420 its reverse (2404435315055), we get a palindrome (57455788755475).

The spelling of 55051353440420 in words is "fifty-five trillion, fifty-one billion, three hundred fifty-three million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 313 340 626 1252 1565 3130 4733 5321 6260 9466 10642 18932 21284 23665 26605 47330 53210 80461 94660 106420 109297 160922 218594 321844 402305 437188 546485 804610 1092970 1481429 1609220 1858049 2185940 2962858 3716098 5925716 7407145 7432196 9290245 14814290 18580490 25184293 29628580 34209961 37160980 50368586 68419922 100737172 125921465 136839844 171049805 251842930 342099610 503685860 517302701 581569337 684199220 1034605402 1163138674 2069210804 2326277348 2586513505 2907846685 5173027010 5815693370 8794145917 10346054020 11631386740 17588291834 35176583668 43970729585 87941459170 161915745413 175882918340 323831490826 647662981652 809578727065 1619157454130 2752567672021 3238314908260 5505135344042 11010270688084 13762838360105 27525676720210 55051353440420