Search a number
-
+
555055000992 = 253217317574831
BaseRepresentation
bin10000001001110111101…
…10110010110110100000
31222001200201220112121100
420010323312302312200
533043223040012432
61102553322554400
755046531443332
oct10047366626640
91861621815540
10555055000992
111a4441094618
128b6a6968a00
1340459265b3b
141cc17051452
15e68919607c
hex813bdb2da0

555055000992 has 288 divisors, whose sum is σ = 1727835992064. Its totient is φ = 168260198400.

The previous prime is 555055000963. The next prime is 555055000993. The reversal of 555055000992 is 299000550555.

It is a happy number.

555055000992 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 550 + 0 + 0 + 9 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (555055000993) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 114892017 + ... + 114896847.

It is an arithmetic number, because the mean of its divisors is an integer number (5999430528).

Almost surely, 2555055000992 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 555055000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863917996032).

555055000992 is an abundant number, since it is smaller than the sum of its proper divisors (1172780991072).

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

555055000992 is a wasteful number, since it uses less digits than its factorization.

555055000992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 45.

The spelling of 555055000992 in words is "five hundred fifty-five billion, fifty-five million, nine hundred ninety-two", and thus it is an aban number.