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133320094768224 = 25347213232152639
BaseRepresentation
bin11110010100000100000000…
…111000111101110001100000
3122111001021110122001120210000
4132110010000320331301200
5114433304023230040344
61151314223411140000
740040026142460300
oct3624040070756140
9574037418046700
10133320094768224
1139530809937a71
1212b523b1ba4600
13595105311c990
1424cca26d0b600
151062e656d6a69
hex794100e3dc60

133320094768224 has 1080 divisors, whose sum is σ = 513478542487680. Its totient is φ = 33632369261568.

The previous prime is 133320094768219. The next prime is 133320094768319. The reversal of 133320094768224 is 422867490023331.

It is a happy number.

133320094768224 is a `hidden beast` number, since 1 + 3 + 3 + 320 + 0 + 94 + 7 + 6 + 8 + 224 = 666.

It is a super-2 number, since 2×1333200947682242 (a number of 29 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 873357697 + ... + 873510335.

It is an arithmetic number, because the mean of its divisors is an integer number (475443094896).

Almost surely, 2133320094768224 is an apocalyptic number.

133320094768224 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 133320094768224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256739271243840).

133320094768224 is an abundant number, since it is smaller than the sum of its proper divisors (380158447719456).

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

133320094768224 is a wasteful number, since it uses less digits than its factorization.

133320094768224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152734 (or 152687 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 133320094768224 in words is "one hundred thirty-three trillion, three hundred twenty billion, ninety-four million, seven hundred sixty-eight thousand, two hundred twenty-four".