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20337269040 = 24325113769401
BaseRepresentation
bin10010111100001100…
…100001100100110000
31221111100011022101200
4102330030201210300
5313122320102130
613202014131200
71316655635364
oct227414414460
957440138350
1020337269040
118696949270
123b36ab0b00
131bc152420a
14dacddb2a4
157e068c760
hex4bc321930

20337269040 has 240 divisors, whose sum is σ = 76523200416. Its totient is φ = 4796928000.

The previous prime is 20337269027. The next prime is 20337269059. The reversal of 20337269040 is 4096273302.

It is a happy number.

20337269040 is a `hidden beast` number, since 20 + 337 + 269 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 20337268986 and 20337269004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258340 + ... + 327740.

Almost surely, 220337269040 is an apocalyptic number.

20337269040 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 20337269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38261600208).

20337269040 is an abundant number, since it is smaller than the sum of its proper divisors (56185931376).

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

20337269040 is a wasteful number, since it uses less digits than its factorization.

20337269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69468 (or 69459 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 20337269040 in words is "twenty billion, three hundred thirty-seven million, two hundred sixty-nine thousand, forty".