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133311288264 = 23373113233
BaseRepresentation
bin111110000100111111…
…0001101001111001000
3110202002200201010011220
41330021332031033020
54141010142211024
6141124203322040
712426402153000
oct1741176151710
9422080633156
10133311288264
115159a824000
1221a05820320
13c756c09bbb
146649183000
1537038e5e79
hex1f09f8d3c8

133311288264 has 512 divisors, whose sum is σ = 446929920000. Its totient is φ = 33120816960.

The previous prime is 133311288233. The next prime is 133311288281. The reversal of 133311288264 is 462882113331.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=3542.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5796142957 + ... + 5796142979.

It is an arithmetic number, because the mean of its divisors is an integer number (872910000).

Almost surely, 2133311288264 is an apocalyptic number.

133311288264 is a gapful number since it is divisible by the number (14) 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 133311288264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223464960000).

133311288264 is an abundant number, since it is smaller than the sum of its proper divisors (313618631736).

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

133311288264 is an frugal number, since it uses more digits than its factorization.

133311288264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 46 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 133311288264 in words is "one hundred thirty-three billion, three hundred eleven million, two hundred eighty-eight thousand, two hundred sixty-four".