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129948714256 = 24901212
BaseRepresentation
bin111100100000110001…
…1000000010100010000
3110102102100102122210211
41321001203000110100
54112113332324011
6135410403533504
712250151563144
oct1710143002420
9412370378724
10129948714256
1150124730419
122122768a294
13c33c38913a
14640a759224
1535a85d2b21
hex1e418c0510

129948714256 has 15 divisors (see below), whose sum is σ = 251778427653. Its totient is φ = 64973636160.

The previous prime is 129948714253. The next prime is 129948714271. The reversal of 129948714256 is 652417849921.

The square root of 129948714256 is 360484.

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

It can be written as a sum of positive squares in only one way, i.e., 129251754256 + 696960000 = 359516^2 + 26400^2 .

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 129948714256.

It is not an unprimeable number, because it can be changed into a prime (129948714253) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1396876 + ... + 1486996.

Almost surely, 2129948714256 is an apocalyptic number.

129948714256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129948714256 is the 360484-th square number.

It is an amenable number.

129948714256 is a deficient number, since it is larger than the sum of its proper divisors (121829713397).

129948714256 is an frugal number, since it uses more digits than its factorization.

129948714256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180250 (or 90123 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 129948714256 in words is "one hundred twenty-nine billion, nine hundred forty-eight million, seven hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 90121 180242 360484 720968 1441936 8121794641 16243589282 32487178564 64974357128 129948714256