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19950547968 = 2103313471181
BaseRepresentation
bin10010100101001001…
…010011010000000000
31220111101110211211000
4102211021103100000
5311324320013333
613055401252000
71304251600611
oct224511232000
956441424730
1019950547968
118508622a7a
123a49494000
131b5c381a90
14d738d1c08
157bb74d713
hex4a5253400

19950547968 has 352 divisors, whose sum is σ = 65037611520. Its totient is φ = 6002933760.

The previous prime is 19950547961. The next prime is 19950547997. The reversal of 19950547968 is 86974505991.

19950547968 is a `hidden beast` number, since 19 + 95 + 0 + 5 + 479 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19950547961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16892338 + ... + 16893518.

Almost surely, 219950547968 is an apocalyptic number.

19950547968 is a gapful number since it is divisible by the number (18) 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 19950547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32518805760).

19950547968 is an abundant number, since it is smaller than the sum of its proper divisors (45087063552).

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

19950547968 is a wasteful number, since it uses less digits than its factorization.

19950547968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 19950547968 in words is "nineteen billion, nine hundred fifty million, five hundred forty-seven thousand, nine hundred sixty-eight".