Search a number
-
+
55603503648 = 25347112193143
BaseRepresentation
bin110011110010001110…
…100010001000100000
312022112002210122120000
4303302032202020200
51402333444104043
641313252020000
74005622661040
oct636216421040
9168462718500
1055603503648
1121643801300
12a939601600
135321952b64
142996a0b720
1516a67ac2d3
hexcf23a2220

55603503648 has 1440 divisors, whose sum is σ = 228402155520. Its totient is φ = 12933043200.

The previous prime is 55603503647. The next prime is 55603503671. The reversal of 55603503648 is 84630530655.

55603503648 is a `hidden beast` number, since 5 + 5 + 603 + 5 + 0 + 36 + 4 + 8 = 666.

It is a super-3 number, since 3×556035036483 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55603503647) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1293104715 + ... + 1293104757.

It is an arithmetic number, because the mean of its divisors is an integer number (158612608).

Almost surely, 255603503648 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 55603503648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114201077760).

55603503648 is an abundant number, since it is smaller than the sum of its proper divisors (172798651872).

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

55603503648 is a wasteful number, since it uses less digits than its factorization.

55603503648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

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

The spelling of 55603503648 in words is "fifty-five billion, six hundred three million, five hundred three thousand, six hundred forty-eight".