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134395069248 = 263211113187711
BaseRepresentation
bin111110100101010010…
…0100000001101000000
3110211220020000220012100
41331022210200031000
54200220114203443
6141423520430400
712465302145216
oct1751244401500
9424806026170
10134395069248
1151aa6570770
1222068778400
13c89a5cc41b
14670d09ccb6
153768b263d3
hex1f4a920340

134395069248 has 168 divisors, whose sum is σ = 423960316416. Its totient is φ = 40365158400.

The previous prime is 134395069231. The next prime is 134395069267. The reversal of 134395069248 is 842960593431.

134395069248 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 9 + 506 + 92 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134395069194 and 134395069203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622113 + ... + 809823.

It is an arithmetic number, because the mean of its divisors is an integer number (2523573312).

Almost surely, 2134395069248 is an apocalyptic number.

134395069248 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 134395069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211980158208).

134395069248 is an abundant number, since it is smaller than the sum of its proper divisors (289565247168).

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

134395069248 is a wasteful number, since it uses less digits than its factorization.

134395069248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187853 (or 187840 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 134395069248 in words is "one hundred thirty-four billion, three hundred ninety-five million, sixty-nine thousand, two hundred forty-eight".