Search a number
-
+
168413556780 = 223357316123561
BaseRepresentation
bin1001110011011000111…
…0101111000000101100
3121002201000211010011000
42130312032233000230
510224402332304110
6205211303000300
715111305420160
oct2346616570054
9532630733130
10168413556780
1165473075977
1228781439090
1312b5c389aa1
1482190b0ca0
1545aa4281c0
hex27363af02c

168413556780 has 384 divisors, whose sum is σ = 628279787520. Its totient is φ = 36640512000.

The previous prime is 168413556763. The next prime is 168413556803. The reversal of 168413556780 is 87655314861.

It is a happy number.

168413556780 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 1 + 3 + 556 + 7 + 80 = 666.

168413556780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1684135567802 (a number of 23 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7136200 + ... + 7159760.

It is an arithmetic number, because the mean of its divisors is an integer number (1636145280).

Almost surely, 2168413556780 is an apocalyptic number.

168413556780 is a gapful number since it is divisible by the number (10) 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 168413556780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314139893760).

168413556780 is an abundant number, since it is smaller than the sum of its proper divisors (459866230740).

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

168413556780 is a wasteful number, since it uses less digits than its factorization.

168413556780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23678 (or 23670 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 168413556780 in words is "one hundred sixty-eight billion, four hundred thirteen million, five hundred fifty-six thousand, seven hundred eighty".