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55510092225504 = 25327471135184479
BaseRepresentation
bin11001001111100011100110…
…10101000001101111100000
321021112201020202210021112100
430213301303111001233200
524233434132102204004
6314020552340330400
714456320555516620
oct1447616325015740
9237481222707470
1055510092225504
1116761774a09484
1262862896a3a00
1324c876b773377
14d9c9ba6a2880
15663e28edd739
hex327c73541be0

55510092225504 has 288 divisors, whose sum is σ = 185876797317120. Its totient is φ = 15385208057856.

The previous prime is 55510092225499. The next prime is 55510092225527. The reversal of 55510092225504 is 40552229001555.

55510092225504 is a `hidden beast` number, since 5 + 5 + 5 + 1 + 0 + 0 + 92 + 2 + 2 + 550 + 4 = 666.

55510092225504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×555100922255043 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55510092225504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8114737 + ... + 13299215.

It is an arithmetic number, because the mean of its divisors is an integer number (645405546240).

Almost surely, 255510092225504 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 55510092225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92938398658560).

55510092225504 is an abundant number, since it is smaller than the sum of its proper divisors (130366705091616).

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

55510092225504 is a wasteful number, since it uses less digits than its factorization.

55510092225504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184662 (or 5184651 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 55510092225504 in words is "fifty-five trillion, five hundred ten billion, ninety-two million, two hundred twenty-five thousand, five hundred four".