Search a number
-
+
55051311252 = 223721078571021
BaseRepresentation
bin110011010001010100…
…000101100010010100
312021002121202100222210
4303101110011202110
51400221113430002
641142404353420
73656136265500
oct632124054224
9167077670883
1055051311252
1121390036a53
12a8046a5870
1352644257b2
14294354b300
15167308496c
hexcd1505894

55051311252 has 144 divisors (see below), whose sum is σ = 151145362368. Its totient is φ = 15548520960.

The previous prime is 55051311199. The next prime is 55051311253. The reversal of 55051311252 is 25211315055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55051311253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53918502 + ... + 53919522.

It is an arithmetic number, because the mean of its divisors is an integer number (1049620572).

Almost surely, 255051311252 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 55051311252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75572681184).

55051311252 is an abundant number, since it is smaller than the sum of its proper divisors (96094051116).

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

55051311252 is a wasteful number, since it uses less digits than its factorization.

55051311252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 55051311252 in words is "fifty-five billion, fifty-one million, three hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 428 588 642 749 857 1021 1284 1498 1714 2042 2247 2571 2996 3063 3428 4084 4494 5142 5243 5999 6126 7147 8988 10284 10486 11998 12252 14294 15729 17997 20972 21441 23996 28588 31458 35994 41993 42882 50029 62916 71988 83986 85764 91699 100058 109247 125979 150087 167972 183398 200116 218494 251958 275097 300174 327741 366796 436988 503916 550194 600348 641893 655482 764729 874997 1100388 1283786 1310964 1529458 1749994 1925679 2294187 2567572 2624991 3058916 3499988 3851358 4493251 4588374 5249982 5353103 6124979 7702716 8986502 9176748 10499964 10706206 12249958 13479753 16059309 17973004 18374937 21412412 24499916 26959506 32118618 36749874 42874853 53919012 64237236 73499748 85749706 93624679 128624559 171499412 187249358 257249118 280874037 374498716 514498236 561748074 655372753 1123496148 1310745506 1966118259 2621491012 3932236518 4587609271 7864473036 9175218542 13762827813 18350437084 27525655626 55051311252