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134229526992 = 243211672515039
BaseRepresentation
bin111110100000010110…
…1000000100111010000
3110211110200112110220200
41331000231000213100
54144400224330432
6141355244335200
712461222103561
oct1750055004720
9424420473820
10134229526992
1151a21083390
1222021244500
13c87221b122
1466d50ca168
153759326a7c
hex1f40b409d0

134229526992 has 240 divisors, whose sum is σ = 417663267840. Its totient is φ = 39900960000.

The previous prime is 134229526979. The next prime is 134229527017. The reversal of 134229526992 is 299625922431.

134229526992 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 29 + 526 + 9 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 26635609 + ... + 26640647.

It is an arithmetic number, because the mean of its divisors is an integer number (1740263616).

Almost surely, 2134229526992 is an apocalyptic number.

134229526992 is a gapful number since it is divisible by the number (12) 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 134229526992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208831633920).

134229526992 is an abundant number, since it is smaller than the sum of its proper divisors (283433740848).

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

134229526992 is a wasteful number, since it uses less digits than its factorization.

134229526992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 5373 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 134229526992 in words is "one hundred thirty-four billion, two hundred twenty-nine million, five hundred twenty-six thousand, nine hundred ninety-two".