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11446132064640 = 2735713379172853
BaseRepresentation
bin1010011010010000001010…
…1000101100000110000000
31111112020110121211202002220
42212210002220230012000
53000013134302032030
640202140330011040
72260645552153530
oct246440250540600
944466417752086
1011446132064640
113713306172269
12134a406576a80
1365049a36cb60
142b7dd24914c0
1514cb180aca10
hexa6902a2c180

11446132064640 has 512 divisors, whose sum is σ = 45022797388800. Its totient is φ = 2408622096384.

The previous prime is 11446132064639. The next prime is 11446132064671. The reversal of 11446132064640 is 4646023164411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11446132064592 and 11446132064601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66132454 + ... + 66305306.

It is an arithmetic number, because the mean of its divisors is an integer number (87935151150).

Almost surely, 211446132064640 is an apocalyptic number.

11446132064640 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 11446132064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22511398694400).

11446132064640 is an abundant number, since it is smaller than the sum of its proper divisors (33576665324160).

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

11446132064640 is a wasteful number, since it uses less digits than its factorization.

11446132064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173274 (or 173262 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 11446132064640 in words is "eleven trillion, four hundred forty-six billion, one hundred thirty-two million, sixty-four thousand, six hundred forty".