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19912779936 = 25337429331
BaseRepresentation
bin10010100010111001…
…001110100010100000
31220101202102000211000
4102202321032202200
5311240132424221
613051531552000
71303312560000
oct224271164240
956352360730
1019912779936
118499277325
123a388bb600
131b545ba12a
14d6c8a0000
157b828ce26
hex4a2e4e8a0

19912779936 has 480 divisors, whose sum is σ = 70302859200. Its totient is φ = 5476584960.

The previous prime is 19912779923. The next prime is 19912779941. The reversal of 19912779936 is 63997721991.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60159291 + ... + 60159621.

It is an arithmetic number, because the mean of its divisors is an integer number (146464290).

Almost surely, 219912779936 is an apocalyptic number.

19912779936 is a gapful number since it is divisible by the number (16) 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 19912779936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35151429600).

19912779936 is an abundant number, since it is smaller than the sum of its proper divisors (50390079264).

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

19912779936 is an equidigital number, since it uses as much as digits as its factorization.

19912779936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 372 counting only the distinct ones).

The product of its digits is 11573604, while the sum is 63.

The spelling of 19912779936 in words is "nineteen billion, nine hundred twelve million, seven hundred seventy-nine thousand, nine hundred thirty-six".