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55471784832 = 2732306115731
BaseRepresentation
bin110011101010011000…
…000100001110000000
312022011220221122022100
4303222120010032000
51402101234103312
641252224510400
74002433251132
oct635230041600
9168156848270
1055471784832
1121586415a82
12a90147b400
135300584c29
142983321052
151699e3e5dc
hexcea604380

55471784832 has 96 divisors (see below), whose sum is σ = 159688137960. Its totient is φ = 18483379200.

The previous prime is 55471784791. The next prime is 55471784833. The reversal of 55471784832 is 23848717455.

55471784832 is a `hidden beast` number, since 5 + 547 + 17 + 8 + 4 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55471784833) 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 11 ways as a sum of consecutive naturals, for example, 3518407 + ... + 3534137.

Almost surely, 255471784832 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 55471784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79844068980).

55471784832 is an abundant number, since it is smaller than the sum of its proper divisors (104216353128).

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

55471784832 is a wasteful number, since it uses less digits than its factorization.

55471784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18812 (or 18797 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 55471784832 in words is "fifty-five billion, four hundred seventy-one million, seven hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3061 6122 9183 12244 15731 18366 24488 27549 31462 36732 47193 48976 55098 62924 73464 94386 97952 110196 125848 141579 146928 188772 195904 220392 251696 283158 293856 377544 391808 440784 503392 566316 587712 755088 881568 1006784 1132632 1175424 1510176 1763136 2013568 2265264 3020352 3526272 4530528 6040704 9061056 18122112 48152591 96305182 144457773 192610364 288915546 385220728 433373319 577831092 770441456 866746638 1155662184 1540882912 1733493276 2311324368 3081765824 3466986552 4622648736 6163531648 6933973104 9245297472 13867946208 18490594944 27735892416 55471784832