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20498181240 = 2335412307331
BaseRepresentation
bin10011000101110010…
…010110110001111000
31221220112221111102210
4103011302112301320
5313440013244430
613230003055120
71323651444225
oct230562266170
957815844383
1020498181240
118769763a59
123b809714a0
131c18973c34
14dc652694c
157ee8752b0
hex4c5c96c78

20498181240 has 192 divisors, whose sum is σ = 63427351680. Its totient is φ = 5299430400.

The previous prime is 20498181191. The next prime is 20498181251. The reversal of 20498181240 is 4218189402.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61927875 + ... + 61928205.

It is an arithmetic number, because the mean of its divisors is an integer number (330350790).

Almost surely, 220498181240 is an apocalyptic number.

20498181240 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 20498181240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31713675840).

20498181240 is an abundant number, since it is smaller than the sum of its proper divisors (42929170440).

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

20498181240 is a wasteful number, since it uses less digits than its factorization.

20498181240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 20498181240 in words is "twenty billion, four hundred ninety-eight million, one hundred eighty-one thousand, two hundred forty".