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55032621228 = 223213259153313
BaseRepresentation
bin110011010000001100…
…110010100010101100
312021001022120211002200
4303100030302202230
51400201322334403
641140500021500
73655521363564
oct632014624254
9167038524080
1055032621228
1121380530952
12a7ba391890
1352605b0700
142940c83da4
1516715e1ca3
hexcd03328ac

55032621228 has 108 divisors (see below), whose sum is σ = 153188282520. Its totient is φ = 16646003712.

The previous prime is 55032621227. The next prime is 55032621229. The reversal of 55032621228 is 82212623055.

It is a happy number.

55032621228 is a `hidden beast` number, since 5 + 5 + 0 + 3 + 2 + 621 + 2 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (55032621227) and next prime (55032621229).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55032621192 and 55032621201.

It is not an unprimeable number, because it can be changed into a prime (55032621227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282300 + ... + 435612.

Almost surely, 255032621228 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 55032621228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76594141260).

55032621228 is an abundant number, since it is smaller than the sum of its proper divisors (98155661292).

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

55032621228 is a wasteful number, since it uses less digits than its factorization.

55032621228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153408 (or 153390 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 55032621228 in words is "fifty-five billion, thirty-two million, six hundred twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 169 177 234 236 338 354 468 507 531 676 708 767 1014 1062 1521 1534 2028 2124 2301 3042 3068 4602 6084 6903 9204 9971 13806 19942 27612 29913 39884 59826 89739 119652 153313 179478 306626 358956 459939 613252 919878 1379817 1839756 1993069 2759634 3986138 5519268 5979207 7972276 9045467 11958414 17937621 18090934 23916828 25909897 27136401 35875242 36181868 51819794 54272802 71750484 77729691 81409203 103639588 108545604 117591071 155459382 162818406 233189073 235182142 310918764 325636812 352773213 466378146 470364284 705546426 932756292 1058319639 1411092852 1528683923 2116639278 3057367846 4233278556 4586051769 6114735692 9172103538 13758155307 18344207076 27516310614 55032621228