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129168052640 = 25511192263773
BaseRepresentation
bin111100001001100000…
…1000001000110100000
3110100101221110221101122
41320103001001012200
54104014010141030
6135201115351412
712221622221564
oct1702301010640
9410357427348
10129168052640
114a863aa8830
122104a152568
13c2467174a3
146374bc56a4
15355ecca8e5
hex1e130411a0

129168052640 has 288 divisors, whose sum is σ = 353136744576. Its totient is φ = 44271544320.

The previous prime is 129168052619. The next prime is 129168052681. The reversal of 129168052640 is 46250861921.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 129168052591 and 129168052600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167099294 + ... + 167100066.

It is an arithmetic number, because the mean of its divisors is an integer number (1226169252).

Almost surely, 2129168052640 is an apocalyptic number.

129168052640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129168052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176568372288).

129168052640 is an abundant number, since it is smaller than the sum of its proper divisors (223968691936).

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

129168052640 is a wasteful number, since it uses less digits than its factorization.

129168052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 129168052640 in words is "one hundred twenty-nine billion, one hundred sixty-eight million, fifty-two thousand, six hundred forty".