Search a number
-
+
133388881920 = 21235572547
BaseRepresentation
bin111110000111010011…
…0001101000000000000
3110202022002201021200000
41330032212031000000
54141140023210140
6141140014400000
712431333534400
oct1741646150000
9422262637600
10133388881920
115162a601298
1221a27800000
13c76a006bc8
1466555c0800
15370a621a30
hex1f0e98d000

133388881920 has 936 divisors, whose sum is σ = 558785301984. Its totient is φ = 30433148928.

The previous prime is 133388881919. The next prime is 133388881943. The reversal of 133388881920 is 29188883331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855087 + ... + 243855633.

It is an arithmetic number, because the mean of its divisors is an integer number (596992844).

Almost surely, 2133388881920 is an apocalyptic number.

133388881920 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 133388881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279392650992).

133388881920 is an abundant number, since it is smaller than the sum of its proper divisors (425396420064).

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

133388881920 is an frugal number, since it uses more digits than its factorization.

133388881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 133388881920 in words is "one hundred thirty-three billion, three hundred eighty-eight million, eight hundred eighty-one thousand, nine hundred twenty".