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12732432440 = 23572134311621
BaseRepresentation
bin10111101101110100…
…11000000000111000
31012212100022120202212
423312322120000320
5202034000314230
65503232114252
7630343614200
oct136672300070
935770276685
1012732432440
115444142a42
122574095988
13127bb1b0c0
1488add9400
154e7bec895
hex2f6e98038

12732432440 has 192 divisors, whose sum is σ = 36726449760. Its totient is φ = 3935554560.

The previous prime is 12732432389. The next prime is 12732432443. The reversal of 12732432440 is 4423423721.

It is a super-2 number, since 2×127324324402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12732432397 and 12732432406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12732432443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089830 + ... + 1101450.

Almost surely, 212732432440 is an apocalyptic number.

12732432440 is a gapful number since it is divisible by the number (10) 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 12732432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18363224880).

12732432440 is an abundant number, since it is smaller than the sum of its proper divisors (23994017320).

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

12732432440 is a wasteful number, since it uses less digits than its factorization.

12732432440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11702 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The spelling of 12732432440 in words is "twelve billion, seven hundred thirty-two million, four hundred thirty-two thousand, four hundred forty".