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55531683584 = 2813592771021
BaseRepresentation
bin110011101101111100…
…100011111100000000
312022100002122210221122
4303231330203330000
51402212102333314
641302204411412
74004061344066
oct635574437400
9168302583848
1055531683584
1121607207883
12a919546b68
13530cac7a90
14298b274036
1516a032228e
hexcedf23f00

55531683584 has 144 divisors (see below), whose sum is σ = 121953951840. Its totient is φ = 25080053760.

The previous prime is 55531683563. The next prime is 55531683593. The reversal of 55531683584 is 48538613555.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54388994 + ... + 54390014.

Almost surely, 255531683584 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 55531683584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60976975920).

55531683584 is an abundant number, since it is smaller than the sum of its proper divisors (66422268256).

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

55531683584 is a wasteful number, since it uses less digits than its factorization.

55531683584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1372 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 53.

The spelling of 55531683584 in words is "fifty-five billion, five hundred thirty-one million, six hundred eighty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 208 236 256 277 416 472 554 767 832 944 1021 1108 1534 1664 1888 2042 2216 3068 3328 3601 3776 4084 4432 6136 7202 7552 8168 8864 12272 13273 14404 15104 16336 16343 17728 24544 26546 28808 32672 32686 35456 49088 53092 57616 60239 65344 65372 70912 98176 106184 115232 120478 130688 130744 196352 212368 212459 230464 240956 261376 261488 282817 424736 424918 460928 481912 522976 565634 783107 849472 849836 921856 963824 1045952 1131268 1566214 1698944 1699672 1927648 2091904 2262536 3132428 3397888 3399344 3676621 3855296 4183808 4525072 6264856 6798688 7353242 7710592 9050144 12529712 13597376 14706484 15421184 16686203 18100288 25059424 27194752 29412968 33372406 36200576 50118848 54389504 58825936 66744812 72401152 100237696 117651872 133489624 200475392 216920639 235303744 266979248 433841278 470607488 533958496 867682556 941214976 1067916992 1735365112 2135833984 3470730224 4271667968 6941460448 13882920896 27765841792 55531683584