Search a number
-
+
133899376320 = 263553155547
BaseRepresentation
bin111110010110100000…
…1100101011011000000
3110210121200022002100000
41330231001211123000
54143211220020240
6141302412200000
712450102630303
oct1745501453300
9423550262300
10133899376320
1151871786296
1221b4a769000
13c81b9c48b8
1466a3308b3a
15373a35e430
hex1f2d0656c0

133899376320 has 336 divisors, whose sum is σ = 493031605248. Its totient is φ = 34554055680.

The previous prime is 133899376313. The next prime is 133899376321. The reversal of 133899376320 is 23673998331.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (133899376321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2382787 + ... + 2438333.

It is an arithmetic number, because the mean of its divisors is an integer number (1467355968).

Almost surely, 2133899376320 is an apocalyptic number.

133899376320 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 133899376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246515802624).

133899376320 is an abundant number, since it is smaller than the sum of its proper divisors (359132228928).

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

133899376320 is an equidigital number, since it uses as much as digits as its factorization.

133899376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55610 (or 55588 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 133899376320 in words is "one hundred thirty-three billion, eight hundred ninety-nine million, three hundred seventy-six thousand, three hundred twenty".