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19986186240 = 216355251
BaseRepresentation
bin10010100111010001…
…010000000000000000
31220120212112110100000
4102213101100000000
5311412430424430
613103113200000
71305163531356
oct224721200000
956525473300
1019986186240
118526754599
123a59400000
131b6687c207
14d7852b7d6
157be93ce60
hex4a7450000

19986186240 has 408 divisors, whose sum is σ = 72137284128. Its totient is φ = 5308416000.

The previous prime is 19986186223. The next prime is 19986186257. The reversal of 19986186240 is 4268168991.

19986186240 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 6 + 1 + 8 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19986186223) and next prime (19986186257).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79626115 + ... + 79626365.

Almost surely, 219986186240 is an apocalyptic number.

19986186240 is a gapful number since it is divisible by the number (10) 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 19986186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36068642064).

19986186240 is an abundant number, since it is smaller than the sum of its proper divisors (52151097888).

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

19986186240 is an frugal number, since it uses more digits than its factorization.

19986186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 19986186240 in words is "nineteen billion, nine hundred eighty-six million, one hundred eighty-six thousand, two hundred forty".