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11419323848640 = 2633531211202061
BaseRepresentation
bin1010011000101100010010…
…1111011101011111000000
31111102200021022110021021000
42212023010233131133000
52444043233401124030
640141544232532000
72256006330115431
oct246130457353700
944380238407230
1011419323848640
1137029a967a854
121345184551000
1364aab732aa56
142b69abcd3488
1514c0997ac860
hexa62c4bdd7c0

11419323848640 has 448 divisors, whose sum is σ = 41781636771840. Its totient is φ = 2932941312000.

The previous prime is 11419323848623. The next prime is 11419323848651. The reversal of 11419323848640 is 4684832391411.

11419323848640 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 93 + 2 + 38 + 486 + 40 = 666.

11419323848640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 56413210 + ... + 56615270.

It is an arithmetic number, because the mean of its divisors is an integer number (93262582080).

Almost surely, 211419323848640 is an apocalyptic number.

11419323848640 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 11419323848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20890818385920).

11419323848640 is an abundant number, since it is smaller than the sum of its proper divisors (30362312923200).

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

11419323848640 is a wasteful number, since it uses less digits than its factorization.

11419323848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202329 (or 202313 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11419323848640 in words is "eleven trillion, four hundred nineteen billion, three hundred twenty-three million, eight hundred forty-eight thousand, six hundred forty".