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55223404441452 = 2232131031733661061
BaseRepresentation
bin11001000111001101100110…
…11001111010111101101100
321020112022021000010220000100
430203212303121322331230
524214240013014111302
6313241140510231100
714426521304540412
oct1443466331727554
9236468230126010
1055223404441452
1116661129155045
12623a7ba4b5490
1324a7710900620
14d8cb8155d2b2
1565b74a3a4d1c
hex3239b367af6c

55223404441452 has 144 divisors (see below), whose sum is σ = 151877714683968. Its totient is φ = 16817112552960.

The previous prime is 55223404441451. The next prime is 55223404441481. The reversal of 55223404441452 is 25414440432255.

55223404441452 is a `hidden beast` number, since 5 + 5 + 2 + 23 + 40 + 444 + 145 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55223404441398 and 55223404441407.

It is not an unprimeable number, because it can be changed into a prime (55223404441451) 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, 83207002 + ... + 83868062.

It is an arithmetic number, because the mean of its divisors is an integer number (1054706351972).

Almost surely, 255223404441452 is an apocalyptic number.

55223404441452 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55223404441452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75938857341984).

55223404441452 is an abundant number, since it is smaller than the sum of its proper divisors (96654310242516).

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

55223404441452 is a wasteful number, since it uses less digits than its factorization.

55223404441452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662920 (or 662915 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 55223404441452 in words is "fifty-five trillion, two hundred twenty-three billion, four hundred four million, four hundred forty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 468 618 927 1236 1339 1733 1854 2678 3466 3708 4017 5199 5356 6932 8034 10398 12051 15597 16068 20796 22529 24102 31194 45058 48204 62388 67587 90116 135174 178499 202761 270348 356998 405522 535497 661061 713996 811044 1070994 1322122 1606491 1983183 2141988 2320487 2644244 3212982 3966366 4640974 5949549 6425964 6961461 7932732 8593793 9281948 11899098 13922922 17187586 20884383 23798196 25781379 27845844 34375172 41768766 51562758 68089283 77344137 83537532 103125516 136178566 154688274 204267849 272357132 309376548 408535698 612803547 817071396 885160679 1145618713 1225607094 1770321358 2291237426 2451214188 2655482037 3436856139 3540642716 4582474852 5310964074 6873712278 7966446111 10310568417 10621928148 13747424556 14893043269 15932892222 20621136834 29786086538 31865784444 41242273668 44679129807 59572173076 89358259614 117998727439 134037389421 178716519228 235997454878 268074778842 353996182317 471994909756 536149557684 707992364634 1061988546951 1415984729268 1533983456707 2123977093902 3067966913414 4247954187804 4601950370121 6135933826828 9203900740242 13805851110363 18407801480484 27611702220726 55223404441452