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17444066640 = 243572112132341
BaseRepresentation
bin10000001111101111…
…110101010101010000
31200000201002101211020
4100033233311111100
5241211140113030
612002542515440
71155165056100
oct201757652520
950021071736
1017444066640
1174417a2500
123469b95b80
13184ccc3530
14bb6a75200
156c1692510
hex40fbf5550

17444066640 has 1440 divisors, whose sum is σ = 79595405568. Its totient is φ = 3122380800.

The previous prime is 17444066621. The next prime is 17444066693. The reversal of 17444066640 is 4666044471.

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 = 17444066592 and 17444066601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 425465020 + ... + 425465060.

Almost surely, 217444066640 is an apocalyptic number.

17444066640 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 17444066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39797702784).

17444066640 is an abundant number, since it is smaller than the sum of its proper divisors (62151338928).

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

17444066640 is a wasteful number, since it uses less digits than its factorization.

17444066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 17444066640 in words is "seventeen billion, four hundred forty-four million, sixty-six thousand, six hundred forty".