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1132817448132 = 223256713554849
BaseRepresentation
bin10000011111000001001…
…011100111110011000100
311000021222222212212100200
4100133001023213303010
5122030002231320012
62224224213210500
7144562162301616
oct20370113476304
94007888785320
101132817448132
113a7474a0a557
1216366a330a30
1382a93a99336
143cb85b98db6
151e701b0e3dc
hex107c12e7cc4

1132817448132 has 36 divisors (see below), whose sum is σ = 2863566423900. Its totient is φ = 377598477312.

The previous prime is 1132817448127. The next prime is 1132817448173. The reversal of 1132817448132 is 2318447182311.

It is a happy number.

1132817448132 is a `hidden beast` number, since 1 + 132 + 8 + 1 + 7 + 4 + 481 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 690251902596 + 442565545536 = 830814^2 + 665256^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 1764244 + ... + 2319092.

It is an arithmetic number, because the mean of its divisors is an integer number (79543511775).

Almost surely, 21132817448132 is an apocalyptic number.

1132817448132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132817448132 is an abundant number, since it is smaller than the sum of its proper divisors (1730748975768).

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

1132817448132 is a wasteful number, since it uses less digits than its factorization.

1132817448132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611572 (or 611567 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 1132817448132 in words is "one trillion, one hundred thirty-two billion, eight hundred seventeen million, four hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 56713 113426 170139 226852 340278 510417 554849 680556 1020834 1109698 1664547 2041668 2219396 3329094 4993641 6658188 9987282 19974564 31467151337 62934302674 94401454011 125868605348 188802908022 283204362033 377605816044 566408724066 1132817448132