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134373479904 = 25331931713719
BaseRepresentation
bin111110100100101001…
…0001001010111100000
3110211211201102001012000
41331021102021113200
54200144102324104
6141421430004000
712464620506426
oct1751122112740
9424751361160
10134373479904
1151a95365334
12220614a6600
13c895cb0771
14670a27d116
153766cae639
hex1f494895e0

134373479904 has 384 divisors, whose sum is σ = 431972352000. Its totient is φ = 40475635200.

The previous prime is 134373479857. The next prime is 134373479921. The reversal of 134373479904 is 409974373431.

134373479904 is a `hidden beast` number, since 13 + 4 + 3 + 73 + 479 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36129757 + ... + 36133475.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928000).

Almost surely, 2134373479904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134373479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986176000).

134373479904 is an abundant number, since it is smaller than the sum of its proper divisors (297598872096).

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

134373479904 is a wasteful number, since it uses less digits than its factorization.

134373479904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 134373479904 in words is "one hundred thirty-four billion, three hundred seventy-three million, four hundred seventy-nine thousand, nine hundred four".