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55404081024 = 2732322972731
BaseRepresentation
bin110011100110010101…
…110010111110000000
312022000012112221010220
4303212111302332000
51401431421043044
641241405423040
74000651630005
oct634625627600
9168005487126
1055404081024
1121551183116
12a8a286aa80
1352bc53b5c6
1429783398ac
151694019019
hexce6572f80

55404081024 has 128 divisors (see below), whose sum is σ = 153688769280. Its totient is φ = 17650913280.

The previous prime is 55404081023. The next prime is 55404081049. The reversal of 55404081024 is 42018040455.

It is a happy number.

55404081024 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 (128).

It is a super-2 number, since 2×554040810242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55404081023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20285739 + ... + 20288469.

It is an arithmetic number, because the mean of its divisors is an integer number (1200693510).

Almost surely, 255404081024 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 55404081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76844384640).

55404081024 is an abundant number, since it is smaller than the sum of its proper divisors (98284688256).

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

55404081024 is a wasteful number, since it uses less digits than its factorization.

55404081024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 55404081024 in words is "fifty-five billion, four hundred four million, eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2297 2731 2944 4416 4594 5462 6891 8193 8832 9188 10924 13782 16386 18376 21848 27564 32772 36752 43696 52831 55128 62813 65544 73504 87392 105662 110256 125626 131088 147008 158493 174784 188439 211324 220512 251252 262176 294016 316986 349568 376878 422648 441024 502504 524352 633972 753756 845296 882048 1005008 1048704 1267944 1507512 1690592 2010016 2535888 3015024 3381184 4020032 5071776 6030048 6273107 6762368 8040064 10143552 12060096 12546214 18819321 20287104 24120192 25092428 37638642 50184856 75277284 100369712 144281461 150554568 200739424 288562922 301109136 401478848 432844383 577125844 602218272 802957696 865688766 1154251688 1204436544 1731377532 2308503376 2408873088 3462755064 4617006752 6925510128 9234013504 13851020256 18468027008 27702040512 55404081024