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1132066461240 = 23325111321990413
BaseRepresentation
bin10000011110010100011…
…010110101011000111000
311000020001122202210000100
4100132110122311120320
5122021433003224430
62224021505035400
7144534443102511
oct20362432653070
94006048683010
101132066461240
113a711a005a30
1216349a925b60
13829a43175b0
143cb1414ba08
151e6aac19960
hex107946b5638

1132066461240 has 192 divisors, whose sum is σ = 4322435775840. Its totient is φ = 253329546240.

The previous prime is 1132066461199. The next prime is 1132066461241. The reversal of 1132066461240 is 421646602311.

1132066461240 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 6 + 646 + 1 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1132066461195 and 1132066461204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132066461241) 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 47 ways as a sum of consecutive naturals, for example, 10943727 + ... + 11046686.

Almost surely, 21132066461240 is an apocalyptic number.

1132066461240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132066461240 is an abundant number, since it is smaller than the sum of its proper divisors (3190369314600).

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

1132066461240 is a wasteful number, since it uses less digits than its factorization.

1132066461240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21990454 (or 21990447 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1132066461240 in words is "one trillion, one hundred thirty-two billion, sixty-six million, four hundred sixty-one thousand, two hundred forty".