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20372739840 = 283352832083
BaseRepresentation
bin10010111110010011…
…110101011100000000
31221120210220102012000
4102332103311130000
5313210410133330
613205322304000
71320566300655
oct227623653400
957523812160
1020372739840
118704975a82
123b46958000
131bc899335b
14db39d1c2c
157e3847560
hex4be4f5700

20372739840 has 288 divisors, whose sum is σ = 72585219840. Its totient is φ = 5410934784.

The previous prime is 20372739833. The next prime is 20372739841. The reversal of 20372739840 is 4893727302.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20372739841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9779439 + ... + 9781521.

Almost surely, 220372739840 is an apocalyptic number.

20372739840 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 20372739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36292609920).

20372739840 is an abundant number, since it is smaller than the sum of its proper divisors (52212480000).

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

20372739840 is a wasteful number, since it uses less digits than its factorization.

20372739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 20372739840 in words is "twenty billion, three hundred seventy-two million, seven hundred thirty-nine thousand, eight hundred forty".