Search a number
-
+
133411738460 = 2257211136131553
BaseRepresentation
bin111110000111111110…
…1011001001101011100
3110202100200201111221112
41330033331121031130
54141211401112320
6141142152321152
712432032031500
oct1741775311534
9422320644845
10133411738460
11516414a27a0
1221a333a31b8
13c77197a5a0
146658650300
15370c638ec5
hex1f0ff5935c

133411738460 has 288 divisors, whose sum is σ = 383753909952. Its totient is φ = 38296903680.

The previous prime is 133411738451. The next prime is 133411738501. The reversal of 133411738460 is 64837114331.

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 95 ways as a sum of consecutive naturals, for example, 85905044 + ... + 85906596.

It is an arithmetic number, because the mean of its divisors is an integer number (1332478854).

Almost surely, 2133411738460 is an apocalyptic number.

133411738460 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 133411738460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191876954976).

133411738460 is an abundant number, since it is smaller than the sum of its proper divisors (250342171492).

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

133411738460 is a wasteful number, since it uses less digits than its factorization.

133411738460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 133411738460 in words is "one hundred thirty-three billion, four hundred eleven million, seven hundred thirty-eight thousand, four hundred sixty".