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19861062144 = 293711315417
BaseRepresentation
bin10010011111110011…
…111100001000000000
31220021011002111100020
4102133303330020000
5311133412442034
613042443253440
71302114146160
oct223763741000
956234074306
1019861062144
118472062a50
123a2351a280
131b4697cba1
14d65a7a5a0
157b3974249
hex49fcfc200

19861062144 has 320 divisors, whose sum is σ = 68107640832. Its totient is φ = 4991385600.

The previous prime is 19861062127. The next prime is 19861062167. The reversal of 19861062144 is 44126016891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19861062096 and 19861062105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3663724 + ... + 3669140.

Almost surely, 219861062144 is an apocalyptic number.

19861062144 is a gapful number since it is divisible by the number (14) 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 19861062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34053820416).

19861062144 is an abundant number, since it is smaller than the sum of its proper divisors (48246578688).

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

19861062144 is a wasteful number, since it uses less digits than its factorization.

19861062144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 19861062144 in words is "nineteen billion, eight hundred sixty-one million, sixty-two thousand, one hundred forty-four".