Search a number
-
+
20321871192 = 23337192311201
BaseRepresentation
bin10010111011010001…
…110010010101011000
31221110021012000112000
4102323101302111120
5313104344334232
613200304121000
71316411024610
oct227321622530
957407160460
1020321871192
118689191677
123b31906160
131bbb29276c
14daad4da40
157de14a27c
hex4bb472558

20321871192 has 384 divisors, whose sum is σ = 70342963200. Its totient is φ = 5318784000.

The previous prime is 20321871131. The next prime is 20321871203. The reversal of 20321871192 is 29117812302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16920192 + ... + 16921392.

It is an arithmetic number, because the mean of its divisors is an integer number (183184800).

Almost surely, 220321871192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321871192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35171481600).

20321871192 is an abundant number, since it is smaller than the sum of its proper divisors (50021092008).

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

20321871192 is a wasteful number, since it uses less digits than its factorization.

20321871192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 20321871192 in words is "twenty billion, three hundred twenty-one million, eight hundred seventy-one thousand, one hundred ninety-two".