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55350268488 = 2334731497853
BaseRepresentation
bin110011100011001000…
…100001001001001000
312021212110021222020000
4303203020201021020
51401324132042423
641232204203000
73666426343104
oct634310411110
9167773258200
1055350268488
1121523868a49
12a888839460
1352b1349a78
14297112c904
15168e439843
hexce3221248

55350268488 has 160 divisors (see below), whose sum is σ = 158230611000. Its totient is φ = 18072916992.

The previous prime is 55350268487. The next prime is 55350268529. The reversal of 55350268488 is 88486205355.

55350268488 is a `hidden beast` number, since 5 + 53 + 50 + 2 + 68 + 488 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21515609124 + 33834659364 = 146682^2 + 183942^2 .

It is a super-2 number, since 2×553502684882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55350268487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7044370 + ... + 7052222.

Almost surely, 255350268488 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 55350268488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79115305500).

55350268488 is an abundant number, since it is smaller than the sum of its proper divisors (102880342512).

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

55350268488 is a wasteful number, since it uses less digits than its factorization.

55350268488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093 (or 8080 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 55350268488 in words is "fifty-five billion, three hundred fifty million, two hundred sixty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 149 162 216 219 292 298 324 438 447 584 596 648 657 876 894 1192 1314 1341 1752 1788 1971 2628 2682 3576 3942 4023 5256 5364 5913 7853 7884 8046 10728 10877 11826 12069 15706 15768 16092 21754 23559 23652 24138 31412 32184 32631 43508 47118 47304 48276 62824 65262 70677 87016 94236 96552 97893 130524 141354 188472 195786 212031 261048 282708 293679 391572 424062 565416 573269 587358 636093 783144 848124 881037 1146538 1170097 1174716 1272186 1696248 1719807 1762074 2293076 2340194 2349432 2544372 3439614 3510291 3524148 4586152 4680388 5088744 5159421 6879228 7020582 7048296 9360776 10318842 10530873 13758456 14041164 15478263 20637684 21061746 28082328 30956526 31592619 41275368 42123492 46434789 61913052 63185238 84246984 85417081 92869578 94777857 123826104 126370476 170834162 185739156 189555714 252740952 256251243 341668324 371478312 379111428 512502486 683336648 758222856 768753729 1025004972 1537507458 2050009944 2306261187 3075014916 4612522374 6150029832 6918783561 9225044748 13837567122 18450089496 27675134244 55350268488