Search a number
-
+
53398926000 = 24345373312
BaseRepresentation
bin110001101110110100…
…101111001010110000
312002211110111111120000
4301232310233022300
51333330111113000
640310420150000
73600163245000
oct615664571260
9162743444500
1053398926000
1120712335502
12a423238300
13505ccaaa44
142827cdc000
1515c7e89000
hexc6ed2f2b0

53398926000 has 1200 divisors, whose sum is σ = 232423963200. Its totient is φ = 11811744000.

The previous prime is 53398925977. The next prime is 53398926017. The reversal of 53398926000 is 62989335.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

53398926000 is a `hidden beast` number, since 5 + 3 + 39 + 8 + 9 + 2 + 600 + 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 (45).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1722545985 + ... + 1722546015.

It is an arithmetic number, because the mean of its divisors is an integer number (193686636).

Almost surely, 253398926000 is an apocalyptic number.

53398926000 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 53398926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116211981600).

53398926000 is an abundant number, since it is smaller than the sum of its proper divisors (179025037200).

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

53398926000 is an equidigital number, since it uses as much as digits as its factorization.

53398926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 53398926000 in words is "fifty-three billion, three hundred ninety-eight million, nine hundred twenty-six thousand".