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129224432484 = 2238723172
BaseRepresentation
bin111100001011001100…
…0000101101101100100
3110100112212120100000000
41320112120011231210
54104122423314414
6135210452021300
712223205360400
oct1702630055544
9410485510000
10129224432484
114a892906844
1221065001830
13c2552c7744
14637c4a0100
153564c15b09
hex1e16605b64

129224432484 has 243 divisors, whose sum is σ = 395824633113. Its totient is φ = 36804795552.

The previous prime is 129224432479. The next prime is 129224432489. The reversal of 129224432484 is 484234422921.

The square root of 129224432484 is 359478.

It is a perfect power (a square), and thus also a powerful number.

129224432484 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 244 + 324 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (129224432479) and next prime (129224432489).

It can be written as a sum of positive squares in only one way, i.e., 7233502500 + 121990929984 = 85050^2 + 349272^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not an unprimeable number, because it can be changed into a prime (129224432489) 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 80 ways as a sum of consecutive naturals, for example, 407647894 + ... + 407648210.

Almost surely, 2129224432484 is an apocalyptic number.

129224432484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129224432484 is the 359478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129224432484

129224432484 is an abundant number, since it is smaller than the sum of its proper divisors (266600200629).

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

129224432484 is an frugal number, since it uses more digits than its factorization.

129224432484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 329 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 129224432484 in words is "one hundred twenty-nine billion, two hundred twenty-four million, four hundred thirty-two thousand, four hundred eighty-four".