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129885276816 = 2436472712
BaseRepresentation
bin111100011110111000…
…1000000101010010000
3110102020221001201000000
41320331301000222100
54112001112324231
6135400220130000
712245451431301
oct1707561005220
9412227051000
10129885276816
11500a1941989
122120a396900
13c32c1a76a9
1464021647a8
1535a2c516e6
hex1e3dc40a90

129885276816 has 315 divisors, whose sum is σ = 391011209203. Its totient is φ = 41777104320.

The previous prime is 129885276811. The next prime is 129885276847. The reversal of 129885276816 is 618672588921.

The square root of 129885276816 is 360396.

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

129885276816 is a `hidden beast` number, since 1 + 2 + 98 + 8 + 527 + 6 + 8 + 16 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129885276811) 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, 1829370061 + ... + 1829370131.

Almost surely, 2129885276816 is an apocalyptic number.

129885276816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129885276816 is the 360396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129885276816

129885276816 is an abundant number, since it is smaller than the sum of its proper divisors (261125932387).

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

129885276816 is an frugal number, since it uses more digits than its factorization.

129885276816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 123 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 129885276816 in words is "one hundred twenty-nine billion, eight hundred eighty-five million, two hundred seventy-six thousand, eight hundred sixteen".