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55554382296 = 23327297116217
BaseRepresentation
bin110011101111010011…
…001001100111011000
312022101200101000201200
4303233103021213120
51402233410213141
641304335114200
74004455313100
oct635723114730
9168350330650
1055554382296
1121619000746
12a925072960
13531471467a
1429902a2200
1516a2307ab6
hexcef4c99d8

55554382296 has 144 divisors (see below), whose sum is σ = 175215704040. Its totient is φ = 15855356160.

The previous prime is 55554382271. The next prime is 55554382307. The reversal of 55554382296 is 69228345555.

55554382296 is a `hidden beast` number, since 5 + 5 + 5 + 543 + 8 + 2 + 2 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3417580 + ... + 3433796.

Almost surely, 255554382296 is an apocalyptic number.

55554382296 is a gapful number since it is divisible by the number (56) 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 55554382296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87607852020).

55554382296 is an abundant number, since it is smaller than the sum of its proper divisors (119661321744).

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

55554382296 is a wasteful number, since it uses less digits than its factorization.

55554382296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17214 (or 17200 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 55554382296 in words is "fifty-five billion, five hundred fifty-four million, three hundred eighty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 971 1176 1764 1942 2913 3528 3884 5826 6797 7768 8739 11652 13594 16217 17478 20391 23304 27188 32434 34956 40782 47579 48651 54376 61173 64868 69912 81564 95158 97302 113519 122346 129736 142737 145953 163128 190316 194604 227038 244692 285474 291906 340557 380632 389208 428211 454076 489384 570948 583812 681114 794633 856422 908152 1021671 1141896 1167624 1362228 1589266 1712844 2043342 2383899 2724456 3178532 3425688 4086684 4767798 6357064 7151697 8173368 9535596 14303394 15746707 19071192 28606788 31493414 47240121 57213576 62986828 94480242 110226949 125973656 141720363 188960484 220453898 283440726 330680847 377920968 440907796 566881452 661361694 771588643 881815592 992042541 1133762904 1322723388 1543177286 1984085082 2314765929 2645446776 3086354572 3968170164 4629531858 6172709144 6944297787 7936340328 9259063716 13888595574 18518127432 27777191148 55554382296