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19973150208 = 2933111931223
BaseRepresentation
bin10010100110011111…
…100001011000000000
31220112222000011021000
4102212133201120000
5311401111301313
613101525532000
71304644655424
oct224637413000
956488004230
1019973150208
11851a360410
123a54b74000
131b63c6679b
14d768d6b84
157bd715673
hex4a67e1600

19973150208 has 640 divisors, whose sum is σ = 70395494400. Its totient is φ = 5524070400.

The previous prime is 19973150191. The next prime is 19973150209. The reversal of 19973150208 is 80205137991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19973150209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89565585 + ... + 89565807.

It is an arithmetic number, because the mean of its divisors is an integer number (109992960).

Almost surely, 219973150208 is an apocalyptic number.

19973150208 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 19973150208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35197747200).

19973150208 is an abundant number, since it is smaller than the sum of its proper divisors (50422344192).

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

19973150208 is a wasteful number, since it uses less digits than its factorization.

19973150208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 19973150208 in words is "nineteen billion, nine hundred seventy-three million, one hundred fifty thousand, two hundred eight".