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1098010368 = 28327135237
BaseRepresentation
bin100000101110010…
…0100111100000000
32211112002201001200
41001130210330000
54222042312433
6300542101200
736131635260
oct10134447400
92745081050
101098010368
11513886494
1226787a800
131466351a0
14a5b817a0
15665e1613
hex41724f00

1098010368 has 216 divisors, whose sum is σ = 3897155808. Its totient is φ = 289529856.

The previous prime is 1098010357. The next prime is 1098010373. The reversal of 1098010368 is 8630108901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207046 + ... + 212282.

It is an arithmetic number, because the mean of its divisors is an integer number (18042388).

Almost surely, 21098010368 is an apocalyptic number.

1098010368 is a gapful number since it is divisible by the number (18) 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 1098010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948577904).

1098010368 is an abundant number, since it is smaller than the sum of its proper divisors (2799145440).

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

1098010368 is a wasteful number, since it uses less digits than its factorization.

1098010368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1098010368 is about 33136.2394969616. The cubic root of 1098010368 is about 1031.6573587576.

The spelling of 1098010368 in words is "one billion, ninety-eight million, ten thousand, three hundred sixty-eight".