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1098638016 = 26372313767
BaseRepresentation
bin100000101111011…
…1110001011000000
32211120021121000220
41001132332023000
54222222404031
6301003343040
736140161200
oct10136761300
92746247026
101098638016
11514175003
12267b21a80
131467c4a88
14a5ca6400
15666b7596
hex417be2c0

1098638016 has 168 divisors, whose sum is σ = 3491398656. Its totient is φ = 303690240.

The previous prime is 1098637993. The next prime is 1098638027. The reversal of 1098638016 is 6108368901.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289765 + ... + 293531.

Almost surely, 21098638016 is an apocalyptic number.

1098638016 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 1098638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745699328).

1098638016 is an abundant number, since it is smaller than the sum of its proper divisors (2392760640).

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

1098638016 is a wasteful number, since it uses less digits than its factorization.

1098638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1098638016 is about 33145.7088625360. The cubic root of 1098638016 is about 1031.8538943452.

The spelling of 1098638016 in words is "one billion, ninety-eight million, six hundred thirty-eight thousand, sixteen".