Search a number
-
+
55354344192 = 283375871949
BaseRepresentation
bin110011100011011000…
…000100001100000000
312021212201222001001000
4303203120010030000
51401331203003232
641232431412000
73666506106450
oct634330041400
9167781861030
1055354344192
11215260a20a4
12a88a084000
1352b2145c24
1429718add60
15168e99227c
hexce3604300

55354344192 has 288 divisors, whose sum is σ = 187492032000. Its totient is φ = 15780483072.

The previous prime is 55354344187. The next prime is 55354344223. The reversal of 55354344192 is 29144345355.

55354344192 is a `hidden beast` number, since 5 + 53 + 543 + 44 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28400434 + ... + 28402382.

It is an arithmetic number, because the mean of its divisors is an integer number (651014000).

Almost surely, 255354344192 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 55354344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746016000).

55354344192 is an abundant number, since it is smaller than the sum of its proper divisors (132137687808).

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

55354344192 is a wasteful number, since it uses less digits than its factorization.

55354344192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2548 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 55354344192 in words is "fifty-five billion, three hundred fifty-four million, three hundred forty-four thousand, one hundred ninety-two".