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20092199040 = 273451920399
BaseRepresentation
bin10010101101100101…
…101010000010000000
31220212021000110120000
4102231211222002000
5312122100332130
613121421320000
71310621605524
oct225545520200
956767013500
1020092199040
118580582581
123a88a06000
131b82819794
14d88645d84
157c8dce260
hex4ad96a080

20092199040 has 320 divisors, whose sum is σ = 75533040000. Its totient is φ = 5075675136.

The previous prime is 20092199011. The next prime is 20092199047. The reversal of 20092199040 is 4099129002.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×200921990403 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20092198986 and 20092199004.

It is not an unprimeable number, because it can be changed into a prime (20092199047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 974761 + ... + 995159.

It is an arithmetic number, because the mean of its divisors is an integer number (236040750).

Almost surely, 220092199040 is an apocalyptic number.

20092199040 is a gapful number since it is divisible by the number (20) 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 20092199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37766520000).

20092199040 is an abundant number, since it is smaller than the sum of its proper divisors (55440840960).

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

20092199040 is a wasteful number, since it uses less digits than its factorization.

20092199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20449 (or 20428 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 20092199040 in words is "twenty billion, ninety-two million, one hundred ninety-nine thousand, forty".