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11432545065760 = 255721337281937
BaseRepresentation
bin1010011001011101100011…
…0010011001101100100000
31111110221101201111200120011
42212113120302121230200
52444302323014101020
640152012205254304
72256655060446100
oct246273062315440
944427351450504
1011432545065760
113708573709975
121347854264394
1364c1134a5150
142b74a3ba5200
1514c5c035a35a
hexa65d8c99b20

11432545065760 has 432 divisors, whose sum is σ = 34775561243304. Its totient is φ = 3520379584512.

The previous prime is 11432545065737. The next prime is 11432545065769. The reversal of 11432545065760 is 6756054523411.

It can be written as a sum of positive squares in 12 ways, for example, as 5297749235856 + 6134795829904 = 2301684^2 + 2476852^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (11432545065769) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139487512 + ... + 139569448.

Almost surely, 211432545065760 is an apocalyptic number.

11432545065760 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 11432545065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387780621652).

11432545065760 is an abundant number, since it is smaller than the sum of its proper divisors (23343016177544).

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

11432545065760 is a wasteful number, since it uses less digits than its factorization.

11432545065760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82053 (or 82001 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 11432545065760 in words is "eleven trillion, four hundred thirty-two billion, five hundred forty-five million, sixty-five thousand, seven hundred sixty".