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19978371072 = 2143211109113
BaseRepresentation
bin10010100110110011…
…011100000000000000
31220120022211101221100
4102212303130000000
5311403430333242
613102233454400
71305040231542
oct224663340000
956508741840
1019978371072
1185222a6980
123a56871400
131b65073c5a
14d77495692
157bdde754c
hex4a6cdc000

19978371072 has 360 divisors, whose sum is σ = 64100116080. Its totient is φ = 5945425920.

The previous prime is 19978371071. The next prime is 19978371079. The reversal of 19978371072 is 27017387991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19978371071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176799688 + ... + 176799800.

It is an arithmetic number, because the mean of its divisors is an integer number (178055878).

Almost surely, 219978371072 is an apocalyptic number.

19978371072 is a gapful number since it is divisible by the number (12) 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 19978371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32050058040).

19978371072 is an abundant number, since it is smaller than the sum of its proper divisors (44121745008).

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

19978371072 is a wasteful number, since it uses less digits than its factorization.

19978371072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 19978371072 in words is "nineteen billion, nine hundred seventy-eight million, three hundred seventy-one thousand, seventy-two".