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130676435472 = 24311247493249
BaseRepresentation
bin111100110110011101…
…1000010101000010000
3110111022001202201122110
41321230323002220100
54120111131413342
6140010521305320
712304166242302
oct1715473025020
9414261681573
10130676435472
1150468494110
12213ab335240
13c4270831cb
14647926b972
1535ec42dc9c
hex1e6cec2a10

130676435472 has 40 divisors (see below), whose sum is σ = 368269956000. Its totient is φ = 39598919680.

The previous prime is 130676435447. The next prime is 130676435479. The reversal of 130676435472 is 274534676031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (130676435479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123746097 + ... + 123747152.

It is an arithmetic number, because the mean of its divisors is an integer number (9206748900).

Almost surely, 2130676435472 is an apocalyptic number.

130676435472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130676435472 is an abundant number, since it is smaller than the sum of its proper divisors (237593520528).

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

130676435472 is a wasteful number, since it uses less digits than its factorization.

130676435472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247493271 (or 247493265 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 130676435472 in words is "one hundred thirty billion, six hundred seventy-six million, four hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 247493249 494986498 742479747 989972996 1484959494 1979945992 2722425739 2969918988 3959891984 5444851478 5939837976 8167277217 10889702956 11879675952 16334554434 21779405912 32669108868 43558811824 65338217736 130676435472