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20191790970 = 2365131783151
BaseRepresentation
bin10010110011100001…
…100100011101111010
31221010012102021000000
4102303201210131322
5312323044302340
613135340053430
71313241251151
oct226341443572
957105367000
1020191790970
11862181545a
123ab6234276
131b9a349610
14d9796c598
157d2a02d30
hex4b386477a

20191790970 has 448 divisors, whose sum is σ = 63301803264. Its totient is φ = 4590950400.

The previous prime is 20191790963. The next prime is 20191790977. The reversal of 20191790970 is 7909719102.

It is an interprime number because it is at equal distance from previous prime (20191790963) and next prime (20191790977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20191790977) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 133720395 + ... + 133720545.

It is an arithmetic number, because the mean of its divisors is an integer number (141298668).

Almost surely, 220191790970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20191790970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31650901632).

20191790970 is an abundant number, since it is smaller than the sum of its proper divisors (43110012294).

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

20191790970 is a wasteful number, since it uses less digits than its factorization.

20191790970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The spelling of 20191790970 in words is "twenty billion, one hundred ninety-one million, seven hundred ninety thousand, nine hundred seventy".