Search a number
-
+
54983610000 = 24355411317
BaseRepresentation
bin110011001101010001…
…110100111010010000
312020220220100210100000
4303031101310322100
51400101301010000
641131545330000
73654354654654
oct631521647220
9166826323300
1054983610000
11213558a6000
12a7a5a96900
1352533b0397
142938566a64
15166c160000
hexccd474e90

54983610000 has 1200 divisors, whose sum is σ = 232235011008. Its totient is φ = 12545280000.

The previous prime is 54983609969. The next prime is 54983610013. The reversal of 54983610000 is 1638945.

54983610000 is a `hidden beast` number, since 549 + 8 + 3 + 6 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3234329992 + ... + 3234330008.

Almost surely, 254983610000 is an apocalyptic number.

54983610000 is a gapful number since it is divisible by the number (50) 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 54983610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116117505504).

54983610000 is an abundant number, since it is smaller than the sum of its proper divisors (177251401008).

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

54983610000 is an equidigital number, since it uses as much as digits as its factorization.

54983610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 54983610000 in words is "fifty-four billion, nine hundred eighty-three million, six hundred ten thousand".