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11561421696 = 2731143531201
BaseRepresentation
bin10101100010001110…
…10100101110000000
31002211201212002000120
422301013110232000
5142134210443241
65151121220240
7556334314536
oct126107245600
932751762016
1011561421696
1149a3137270
1222a7a91680
131123336836
147b9694156
15479edb666
hex2b11d4b80

11561421696 has 256 divisors, whose sum is σ = 34956852480. Its totient is φ = 3354624000.

The previous prime is 11561421649. The next prime is 11561421731. The reversal of 11561421696 is 69612416511.

It is a super-3 number, since 3×115614216963 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9625896 + ... + 9627096.

It is an arithmetic number, because the mean of its divisors is an integer number (136550205).

Almost surely, 211561421696 is an apocalyptic number.

11561421696 is a gapful number since it is divisible by the number (16) 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 11561421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478426240).

11561421696 is an abundant number, since it is smaller than the sum of its proper divisors (23395430784).

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

11561421696 is a wasteful number, since it uses less digits than its factorization.

11561421696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1313 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The spelling of 11561421696 in words is "eleven billion, five hundred sixty-one million, four hundred twenty-one thousand, six hundred ninety-six".