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19969500672 = 293311413203
BaseRepresentation
bin10010100110010001…
…100110011000000000
31220112201010202001000
4102212101212120000
5311344143010142
613101315412000
71304601645402
oct224621463000
956481122030
1019969500672
118518298470
123a538b4000
131b632895b4
14d76226b72
157bd24414c
hex4a6466600

19969500672 has 320 divisors, whose sum is σ = 66078270720. Its totient is φ = 5901926400.

The previous prime is 19969500637. The next prime is 19969500689. The reversal of 19969500672 is 27600596991.

19969500672 is a `hidden beast` number, since 1 + 9 + 9 + 69 + 500 + 6 + 72 = 666.

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 31 ways as a sum of consecutive naturals, for example, 6233023 + ... + 6236225.

It is an arithmetic number, because the mean of its divisors is an integer number (206494596).

Almost surely, 219969500672 is an apocalyptic number.

19969500672 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 19969500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33039135360).

19969500672 is an abundant number, since it is smaller than the sum of its proper divisors (46108770048).

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

19969500672 is a wasteful number, since it uses less digits than its factorization.

19969500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 19969500672 in words is "nineteen billion, nine hundred sixty-nine million, five hundred thousand, six hundred seventy-two".