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11198397420 = 22355717367
BaseRepresentation
bin10100110110111100…
…11111101111101100
31001220102202112100000
422123132133233230
5140413242204140
65051112304300
7544335543660
oct123336375754
931812675300
1011198397420
114827226801
1222063a2090
131096070382
147833968a0
154581cda30
hex29b79fbec

11198397420 has 576 divisors, whose sum is σ = 43413027840. Its totient is φ = 2373110784.

The previous prime is 11198397409. The next prime is 11198397439. The reversal of 11198397420 is 2479389111.

11198397420 is a `hidden beast` number, since 1 + 1 + 198 + 39 + 7 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167140227 + ... + 167140293.

It is an arithmetic number, because the mean of its divisors is an integer number (75369840).

Almost surely, 211198397420 is an apocalyptic number.

11198397420 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 11198397420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21706513920).

11198397420 is an abundant number, since it is smaller than the sum of its proper divisors (32214630420).

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

11198397420 is an equidigital number, since it uses as much as digits as its factorization.

11198397420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11198397420 in words is "eleven billion, one hundred ninety-eight million, three hundred ninety-seven thousand, four hundred twenty".