Search a number
-
+
168966997592640 = 263513233118988811
BaseRepresentation
bin100110011010110010110001…
…110111101100101001000000
3211011021002100120122212121120
4212122302301313230221000
5134121323402340431030
61355210211143352240
750406314500210212
oct4632626167545100
9734232316585546
10168966997592640
11499245571a9285
1216b4ab29752680
13733869a473b10
142da20911545b2
151480345558010
hex99acb1deca40

168966997592640 has 448 divisors, whose sum is σ = 622303169789952. Its totient is φ = 38500192051200.

The previous prime is 168966997592639. The next prime is 168966997592689. The reversal of 168966997592640 is 46295799669861.

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 63 ways as a sum of consecutive naturals, for example, 596166 + ... + 18392645.

It is an arithmetic number, because the mean of its divisors is an integer number (1389069575424).

Almost surely, 2168966997592640 is an apocalyptic number.

168966997592640 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 168966997592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311151584894976).

168966997592640 is an abundant number, since it is smaller than the sum of its proper divisors (453336172197312).

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

168966997592640 is a wasteful number, since it uses less digits than its factorization.

168966997592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18988898 (or 18988888 counting only the distinct ones).

The product of its (nonzero) digits is 19046845440, while the sum is 87.

The spelling of 168966997592640 in words is "one hundred sixty-eight trillion, nine hundred sixty-six billion, nine hundred ninety-seven million, five hundred ninety-two thousand, six hundred forty".