Search a number
-
+
55292362290 = 233511313716231
BaseRepresentation
bin110011011111101011…
…100111111000110010
312021201102100000212000
4303133223213320302
51401214321043130
641222335114430
73665124216264
oct633753477062
9167642300760
1055292362290
11214a4108190
12a871372a16
1352a2353b49
142967577b34
1516892ec260
hexcdfae7e32

55292362290 has 256 divisors, whose sum is σ = 170537287680. Its totient is φ = 12620448000.

The previous prime is 55292362267. The next prime is 55292362291. The reversal of 55292362290 is 9226329255.

55292362290 is a `hidden beast` number, since 5 + 529 + 2 + 36 + 2 + 2 + 90 = 666.

It is a super-2 number, since 2×552923622902 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55292362291) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3398475 + ... + 3414705.

It is an arithmetic number, because the mean of its divisors is an integer number (666161280).

Almost surely, 255292362290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55292362290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85268643840).

55292362290 is an abundant number, since it is smaller than the sum of its proper divisors (115244925390).

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

55292362290 is a wasteful number, since it uses less digits than its factorization.

55292362290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16326 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 55292362290 in words is "fifty-five billion, two hundred ninety-two million, three hundred sixty-two thousand, two hundred ninety".