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129627361444 = 2272257172
BaseRepresentation
bin111100010111001100…
…1001001000010100100
3110101120221202020121211
41320232121021002210
54110434101031234
6135314444121204
712236200251400
oct1705631110244
9411527666554
10129627361444
114aa7a2a2289
1221157b36204
13c2ba923249
1463b9bc8100
15358a2a7164
hex1e2e6490a4

129627361444 has 27 divisors (see below), whose sum is σ = 263894532993. Its totient is φ = 55552423248.

The previous prime is 129627361427. The next prime is 129627361537. The reversal of 129627361444 is 444163726921.

The square root of 129627361444 is 360038.

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., 77500992100 + 52126369344 = 278390^2 + 228312^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5027674 + ... + 5053390.

Almost surely, 2129627361444 is an apocalyptic number.

129627361444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129627361444 is the 360038-th square number.

It is an amenable number.

129627361444 is an abundant number, since it is smaller than the sum of its proper divisors (134267171549).

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

129627361444 is an frugal number, since it uses more digits than its factorization.

129627361444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51452 (or 25726 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

Multiplying 129627361444 by its sum of digits (49), we get a square (6351740710756 = 25202662).

129627361444 divided by its sum of digits (49) gives a square (2645456356 = 514342).

The spelling of 129627361444 in words is "one hundred twenty-nine billion, six hundred twenty-seven million, three hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 25717 51434 102868 180019 360038 720076 1260133 2520266 5040532 661364089 1322728178 2645456356 4629548623 9259097246 18518194492 32406840361 64813680722 129627361444