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55242775584 = 25322329287579
BaseRepresentation
bin110011011100101110…
…011101110000100000
312021120222000202200100
4303130232131300200
51401114122304314
641213404222400
73663652562523
oct633456356040
9167528022610
1055242775584
1121479119a37
12a85883aa00
135294cb18b9
142960b4abba
151684ca4c09
hexcdcb9dc20

55242775584 has 144 divisors (see below), whose sum is σ = 169580174400. Its totient is φ = 17006212608.

The previous prime is 55242775583. The next prime is 55242775603. The reversal of 55242775584 is 48557724255.

It is a happy number.

55242775584 is a `hidden beast` number, since 5 + 52 + 4 + 2 + 7 + 7 + 5 + 584 = 666.

55242775584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×552427755843 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55242775584.

It is not an unprimeable number, because it can be changed into a prime (55242775583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48307 + ... + 335885.

It is an arithmetic number, because the mean of its divisors is an integer number (1177640100).

Almost surely, 255242775584 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 55242775584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84790087200).

55242775584 is an abundant number, since it is smaller than the sum of its proper divisors (114337398816).

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

55242775584 is a wasteful number, since it uses less digits than its factorization.

55242775584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287647 (or 287636 counting only the distinct ones).

The product of its digits is 15680000, while the sum is 54.

The spelling of 55242775584 in words is "fifty-five billion, two hundred forty-two million, seven hundred seventy-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 58 69 72 87 92 96 116 138 144 174 184 207 232 261 276 288 348 368 414 464 522 552 667 696 736 828 928 1044 1104 1334 1392 1656 2001 2088 2208 2668 2784 3312 4002 4176 5336 6003 6624 8004 8352 10672 12006 16008 21344 24012 32016 48024 64032 96048 192096 287579 575158 862737 1150316 1725474 2300632 2588211 3450948 4601264 5176422 6614317 6901896 8339791 9202528 10352844 13228634 13803792 16679582 19842951 20705688 25019373 26457268 27607584 33359164 39685902 41411376 50038746 52914536 59528853 66718328 75058119 79371804 82822752 100077492 105829072 119057706 133436656 150116238 158743608 191815193 200154984 211658144 238115412 266873312 300232476 317487216 383630386 400309968 476230824 575445579 600464952 634974432 767260772 800619936 952461648 1150891158 1200929904 1534521544 1726336737 1904923296 2301782316 2401859808 3069043088 3452673474 4603564632 6138086176 6905346948 9207129264 13810693896 18414258528 27621387792 55242775584