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55345117184 = 21176176257
BaseRepresentation
bin110011100010110100…
…110111100000000000
312021212002121020221222
4303202310313200000
51401321322222214
641231501534212
73666334506530
oct634264674000
9167762536858
1055345117184
112152096a775
12a886b74368
1352b0265166
14297058b4c0
15168dc6d38e
hexce2d37800

55345117184 has 96 divisors (see below), whose sum is σ = 126697465440. Its totient is φ = 23677108224.

The previous prime is 55345117181. The next prime is 55345117199. The reversal of 55345117184 is 48171154355.

It is a super-2 number, since 2×553451171842 (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 (55345117181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8842184 + ... + 8848440.

It is an arithmetic number, because the mean of its divisors is an integer number (1319765265).

Almost surely, 255345117184 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 55345117184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63348732720).

55345117184 is an abundant number, since it is smaller than the sum of its proper divisors (71352348256).

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

55345117184 is an equidigital number, since it uses as much as digits as its factorization.

55345117184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6883 counting only the distinct ones).

The product of its digits is 336000, while the sum is 44.

The spelling of 55345117184 in words is "fifty-five billion, three hundred forty-five million, one hundred seventeen thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 617 896 1024 1234 1792 2048 2468 3584 4319 4936 6257 7168 8638 9872 12514 14336 17276 19744 25028 34552 39488 43799 50056 69104 78976 87598 100112 138208 157952 175196 200224 276416 315904 350392 400448 552832 631808 700784 800896 1105664 1263616 1401568 1601792 2211328 2803136 3203584 3860569 4422656 5606272 6407168 7721138 8845312 11212544 12814336 15442276 22425088 27023983 30884552 44850176 54047966 61769104 89700352 108095932 123538208 216191864 247076416 432383728 494152832 864767456 988305664 1729534912 1976611328 3459069824 3953222656 6918139648 7906445312 13836279296 27672558592 55345117184