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12756830940 = 2234571766173
BaseRepresentation
bin10111110000101110…
…11100101011011100
31012221001020011020000
423320113130223130
5202111222042230
65505503054300
7631061162640
oct137027345334
935831204200
1012756830940
115456997997
1225802a1390
131283bb1599
1489034ac20
154e9e1bb60
hex2f85dcadc

12756830940 has 240 divisors, whose sum is σ = 48426662592. Its totient is φ = 2744285184.

The previous prime is 12756830921. The next prime is 12756830963. The reversal of 12756830940 is 4903865721.

12756830940 is a `hidden beast` number, since 12 + 7 + 568 + 30 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159694 + ... + 225866.

It is a 1-persistent number, because it is pandigital, but 2⋅12756830940 = 25513661880 is not.

Almost surely, 212756830940 is an apocalyptic number.

12756830940 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 12756830940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213331296).

12756830940 is an abundant number, since it is smaller than the sum of its proper divisors (35669831652).

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

12756830940 is a wasteful number, since it uses less digits than its factorization.

12756830940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66218 (or 66207 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12756830940 in words is "twelve billion, seven hundred fifty-six million, eight hundred thirty thousand, nine hundred forty".