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134905394988 = 22327132329107577
BaseRepresentation
bin111110110100011111…
…1001111011100101100
3110220012210022010111200
41331220333033130230
54202241240114423
6141550310445500
712514036636320
oct1755077173454
9426183263450
10134905394988
115223863aa81
122218b663890
13c94c25b410
14675ab81980
15379882dd43
hex1f68fcf72c

134905394988 has 576 divisors, whose sum is σ = 458082293760. Its totient is φ = 32495468544.

The previous prime is 134905394971. The next prime is 134905395019. The reversal of 134905394988 is 889493509431.

134905394988 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 0 + 539 + 4 + 98 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 233804556 + ... + 233805132.

It is an arithmetic number, because the mean of its divisors is an integer number (795281760).

Almost surely, 2134905394988 is an apocalyptic number.

134905394988 is a gapful number since it is divisible by the number (18) 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 134905394988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229041146880).

134905394988 is an abundant number, since it is smaller than the sum of its proper divisors (323176898772).

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

134905394988 is a wasteful number, since it uses less digits than its factorization.

134905394988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 134905394988 in words is "one hundred thirty-four billion, nine hundred five million, three hundred ninety-four thousand, nine hundred eighty-eight".