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11198250000 = 243456779
BaseRepresentation
bin10100110110111011…
…11011110000010000
31001220102111001010000
422123131323300100
5140413223000000
65051105210000
7544334361120
oct123335736020
931812431100
1011198250000
114827135a73
122206330900
13109601b242
14783358c80
154581a0000
hex29b77bc10

11198250000 has 700 divisors, whose sum is σ = 46886899840. Its totient is φ = 2527200000.

The previous prime is 11198249989. The next prime is 11198250029. The reversal of 11198250000 is 5289111.

It is a tau number, because it is divible by the number of its divisors (700).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 141749961 + ... + 141750039.

Almost surely, 211198250000 is an apocalyptic number.

11198250000 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 11198250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23443449920).

11198250000 is an abundant number, since it is smaller than the sum of its proper divisors (35688649840).

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

11198250000 is an frugal number, since it uses more digits than its factorization.

11198250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 11198250000 in words is "eleven billion, one hundred ninety-eight million, two hundred fifty thousand".