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134007690727872 = 2637134310931567
BaseRepresentation
bin11110011110000100011000…
…110011011001000111000000
3122120111000021101011110000000
4132132010120303121013000
5120031040222311242442
61153002141103000000
740140510333630003
oct3636043063310700
9576430241143000
10134007690727872
113977638492a545
1213043708599000
1359a0b427ca770
142514014a9b53a
151075caa80cd4c
hex79e118cd91c0

134007690727872 has 896 divisors, whose sum is σ = 440171233976320. Its totient is φ = 40211700092928.

The previous prime is 134007690727871. The next prime is 134007690727873. The reversal of 134007690727872 is 278727096700431.

134007690727872 is a `hidden beast` number, since 1 + 3 + 400 + 7 + 6 + 90 + 7 + 2 + 78 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (134007690727871) and next prime (134007690727873).

It is a super-2 number, since 2×1340076907278722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134007690727871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85518627633 + ... + 85518629199.

It is an arithmetic number, because the mean of its divisors is an integer number (491262537920).

Almost surely, 2134007690727872 is an apocalyptic number.

134007690727872 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 134007690727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220085616988160).

134007690727872 is an abundant number, since it is smaller than the sum of its proper divisors (306163543248448).

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

134007690727872 is a wasteful number, since it uses less digits than its factorization.

134007690727872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 134007690727872 in words is "one hundred thirty-four trillion, seven billion, six hundred ninety million, seven hundred twenty-seven thousand, eight hundred seventy-two".