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133465041154120 = 23513256663540681
BaseRepresentation
bin11110010110001011000000…
…010111100011000001001000
3122111120010121012020220100211
4132112023000113203001020
5114443142401013412440
61151504554331210504
740053350065434604
oct3626130027430110
9574503535226324
10133465041154120
113958722a33a035
1212b765042a6a34
1359619126bb120
1424d5a57442504
151066aea7bdeea
hex7962c05e3048

133465041154120 has 32 divisors (see below), whose sum is σ = 323396061259320. Its totient is φ = 49279399810560.

The previous prime is 133465041154103. The next prime is 133465041154121. The reversal of 133465041154120 is 21451140564331.

It can be written as a sum of positive squares in 4 ways, for example, as 111372014250436 + 22093026903684 = 10553294^2 + 4700322^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (133465041154121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128331769821 + ... + 128331770860.

Almost surely, 2133465041154120 is an apocalyptic number.

133465041154120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133465041154120 is an abundant number, since it is smaller than the sum of its proper divisors (189931020105200).

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

133465041154120 is a wasteful number, since it uses less digits than its factorization.

133465041154120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256663540705 (or 256663540701 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 133465041154120 in words is "one hundred thirty-three trillion, four hundred sixty-five billion, forty-one million, one hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 256663540681 513327081362 1026654162724 1283317703405 2053308325448 2566635406810 3336626028853 5133270813620 6673252057706 10266541627240 13346504115412 16683130144265 26693008230824 33366260288530 66732520577060 133465041154120