Search a number
-
+
2430555555552 = 253195330238317
BaseRepresentation
bin100011010111101000011…
…001101000011011100000
322121100200121002021021120
4203113220121220123200
5304310234210234202
65100325400452240
7340413301225305
oct43275031503340
98540617067246
102430555555552
1185787a279333
1233308417a080
1314827b3a18a7
14858d4b950ac
154335718e0bc
hex235e86686e0

2430555555552 has 192 divisors, whose sum is σ = 6845812485120. Its totient is φ = 752722274304.

The previous prime is 2430555555503. The next prime is 2430555555581. The reversal of 2430555555552 is 2555555550342.

It is a junction number, because it is equal to n+sod(n) for n = 2430555555495 and 2430555555504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292235298 + ... + 292243614.

It is an arithmetic number, because the mean of its divisors is an integer number (35655273360).

Almost surely, 22430555555552 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 2430555555552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422906242560).

2430555555552 is an abundant number, since it is smaller than the sum of its proper divisors (4415256929568).

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

2430555555552 is a wasteful number, since it uses less digits than its factorization.

2430555555552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11425 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 18750000, while the sum is 51.

The spelling of 2430555555552 in words is "two trillion, four hundred thirty billion, five hundred fifty-five million, five hundred fifty-five thousand, five hundred fifty-two".