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20018749296 = 243721317192027
BaseRepresentation
bin10010101001001101…
…011101111101110000
31220200010210211110010
4102221031131331300
5311444244434141
613110235134520
71306040363400
oct225115357560
956603724403
1020018749296
118543075707
123a682a4440
131b705409b0
14d7c9a6800
157c2721416
hex4a935df70

20018749296 has 480 divisors, whose sum is σ = 72242876160. Its totient is φ = 4705247232.

The previous prime is 20018749291. The next prime is 20018749337. The reversal of 20018749296 is 69294781002.

It is a super-2 number, since 2×200187492962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20018749291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9875035 + ... + 9877061.

It is an arithmetic number, because the mean of its divisors is an integer number (150505992).

Almost surely, 220018749296 is an apocalyptic number.

20018749296 is a gapful number since it is divisible by the number (26) 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 20018749296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36121438080).

20018749296 is an abundant number, since it is smaller than the sum of its proper divisors (52224126864).

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

20018749296 is a wasteful number, since it uses less digits than its factorization.

20018749296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 20018749296 in words is "twenty billion, eighteen million, seven hundred forty-nine thousand, two hundred ninety-six".