Search a number
-
+
16980024955068 = 22327235967339841
BaseRepresentation
bin1111011100010111100001…
…0110110001000010111100
32020010021102010121210212200
43313011320112301002330
54211200042342030233
6100040303224031500
73401523563465100
oct367057026610274
966107363553780
1016980024955068
11545720846746a
121aa2a14002590
13962295305b26
14429ba24d7900
151e6a51ba5313
hexf71785b10bc

16980024955068 has 216 divisors, whose sum is σ = 50144092558560. Its totient is φ = 4830612111360.

The previous prime is 16980024955037. The next prime is 16980024955081. The reversal of 16980024955068 is 86055942008961.

16980024955068 is a `hidden beast` number, since 1 + 6 + 9 + 80 + 0 + 2 + 49 + 5 + 506 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 16980024954996 and 16980024955014.

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 71 ways as a sum of consecutive naturals, for example, 426174828 + ... + 426214668.

It is an arithmetic number, because the mean of its divisors is an integer number (232148576660).

Almost surely, 216980024955068 is an apocalyptic number.

16980024955068 is a gapful number since it is divisible by the number (18) 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 16980024955068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25072046279280).

16980024955068 is an abundant number, since it is smaller than the sum of its proper divisors (33164067603492).

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

16980024955068 is a wasteful number, since it uses less digits than its factorization.

16980024955068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40897 (or 40885 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 16980024955068 in words is "sixteen trillion, nine hundred eighty billion, twenty-four million, nine hundred fifty-five thousand, sixty-eight".