Search a number
-
+
54686323692 = 2233711133531433
BaseRepresentation
bin110010111011100011…
…110001001111101100
312020011011222002012000
4302323203301033230
51343444144324232
641042245412300
73644115040020
oct627343611754
9166134862160
1054686323692
1121213005440
12a72240a090
135206922820
14290ac9c380
151650eda27c
hexcbb8f13ec

54686323692 has 384 divisors, whose sum is σ = 191033579520. Its totient is φ = 13065338880.

The previous prime is 54686323687. The next prime is 54686323751. The reversal of 54686323692 is 29632368645.

It is a happy number.

54686323692 is a `hidden beast` number, since 5 + 468 + 63 + 2 + 36 + 92 = 666.

It is a super-3 number, since 3×546863236923 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38161408 + ... + 38162840.

It is an arithmetic number, because the mean of its divisors is an integer number (497483280).

Almost surely, 254686323692 is an apocalyptic number.

54686323692 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54686323692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95516789760).

54686323692 is an abundant number, since it is smaller than the sum of its proper divisors (136347255828).

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

54686323692 is a wasteful number, since it uses less digits than its factorization.

54686323692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1822 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 54686323692 in words is "fifty-four billion, six hundred eighty-six million, three hundred twenty-three thousand, six hundred ninety-two".