Search a number
-
+
55651417482240 = 2103257179215317
BaseRepresentation
bin11001010011101010110101…
…11110000110010000000000
321022001020000222012011202100
430221311122332012100000
524243243100333412430
6314205524103150400
714502453001421316
oct1451653276062000
9238036028164670
1055651417482240
11168066a7380618
1262a974b145400
132508ba1a74338
14da5785d080b6
1566794b23d960
hex329d5af86400

55651417482240 has 528 divisors, whose sum is σ = 198022831418880. Its totient is φ = 14446084423680.

The previous prime is 55651417482179. The next prime is 55651417482247. The reversal of 55651417482240 is 4228471415655.

55651417482240 is a `hidden beast` number, since 5 + 5 + 6 + 514 + 1 + 7 + 4 + 82 + 2 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (55651417482247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258355062 + ... + 258570378.

Almost surely, 255651417482240 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 55651417482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99011415709440).

55651417482240 is an abundant number, since it is smaller than the sum of its proper divisors (142371413936640).

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

55651417482240 is a wasteful number, since it uses less digits than its factorization.

55651417482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215498 (or 215477 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

Adding to 55651417482240 its reverse (4228471415655), we get a palindrome (59879888897895).

The spelling of 55651417482240 in words is "fifty-five trillion, six hundred fifty-one billion, four hundred seventeen million, four hundred eighty-two thousand, two hundred forty".