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13500423540 = 2232575002353
BaseRepresentation
bin11001001001011000…
…00001110101110100
31021211212102120111200
430210230001311310
5210122102023130
610111344532500
7655360464252
oct144454016564
937755376450
1013500423540
1157a870102a
122749321130
131371c747c6
14920dd15d2
15540350760
hex324b01d74

13500423540 has 36 divisors (see below), whose sum is σ = 40951285284. Its totient is φ = 3600112896.

The previous prime is 13500423527. The next prime is 13500423589. The reversal of 13500423540 is 4532400531.

It can be written as a sum of positive squares in 2 ways, for example, as 4369474404 + 9130949136 = 66102^2 + 95556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×135004235402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37500997 + ... + 37501356.

Almost surely, 213500423540 is an apocalyptic number.

13500423540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13500423540 is an abundant number, since it is smaller than the sum of its proper divisors (27450861744).

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

13500423540 is a wasteful number, since it uses less digits than its factorization.

13500423540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75002368 (or 75002363 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 13500423540 in words is "thirteen billion, five hundred million, four hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 75002353 150004706 225007059 300009412 375011765 450014118 675021177 750023530 900028236 1125035295 1350042354 1500047060 2250070590 2700084708 3375105885 4500141180 6750211770 13500423540