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129612960324 = 22365921132
BaseRepresentation
bin111100010110110001…
…0001101001001000100
3110101112221122121000000
41320231202031021010
54110421404212244
6135313211321300
712235633661541
oct1705542151104
9411487577000
10129612960324
114aa72156531
1221153150230
13c2b7950383
1463b7d19bc8
153588db0169
hex1e2d88d244

129612960324 has 189 divisors, whose sum is σ = 349028696653. Its totient is φ = 42096184704.

The previous prime is 129612960289. The next prime is 129612960329. The reversal of 129612960324 is 423069216921.

The square root of 129612960324 is 360018.

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

129612960324 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 12 + 9 + 603 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2283884100 + 127329076224 = 47790^2 + 356832^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 129612960324.

It is not an unprimeable number, because it can be changed into a prime (129612960329) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1147017292 + ... + 1147017404.

Almost surely, 2129612960324 is an apocalyptic number.

129612960324 is the 360018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129612960324

129612960324 is an abundant number, since it is smaller than the sum of its proper divisors (219415736329).

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

129612960324 is an frugal number, since it uses more digits than its factorization.

129612960324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

It can be divided in two parts, 129612 and 960324, that added together give a square (1089936 = 10442).

The spelling of 129612960324 in words is "one hundred twenty-nine billion, six hundred twelve million, nine hundred sixty thousand, three hundred twenty-four".