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55673683344 = 2436231391493
BaseRepresentation
bin110011110110011010…
…001111110110010000
312022200222212011000000
4303312122033312100
51403004430331334
641324240130000
74010434333416
oct636632176620
9168628764000
1055673683344
112167a385354
12a959006900
1353333553c6
1429a20792b6
1516aca21299
hexcf668fd90

55673683344 has 280 divisors, whose sum is σ = 170087238720. Its totient is φ = 17611520256.

The previous prime is 55673683343. The next prime is 55673683357. The reversal of 55673683344 is 44338637655.

55673683344 is a `hidden beast` number, since 5 + 567 + 3 + 6 + 8 + 33 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55673683343) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37289062 + ... + 37290554.

It is an arithmetic number, because the mean of its divisors is an integer number (607454424).

Almost surely, 255673683344 is an apocalyptic number.

55673683344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55673683344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85043619360).

55673683344 is an abundant number, since it is smaller than the sum of its proper divisors (114413555376).

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

55673683344 is a wasteful number, since it uses less digits than its factorization.

55673683344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1660 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 55673683344 in words is "fifty-five billion, six hundred seventy-three million, six hundred eighty-three thousand, three hundred forty-four".