Search a number
-
+
189520407882 = 235132337101349
BaseRepresentation
bin1011000010000001001…
…0111110110101001010
3200010012000002020200000
42300200102332311022
511101114211023012
6223021532023430
716456330613211
oct2604022766512
9603160066600
10189520407882
1173414369573
1230892001b76
1314b441738b0
14925c39a078
154de342eddc
hex2c204bed4a

189520407882 has 384 divisors, whose sum is σ = 497752819200. Its totient is φ = 53579750400.

The previous prime is 189520407847. The next prime is 189520407899. The reversal of 189520407882 is 288704025981.

189520407882 is a `hidden beast` number, since 1 + 8 + 9 + 520 + 40 + 78 + 8 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 543038244 + ... + 543038592.

It is an arithmetic number, because the mean of its divisors is an integer number (1296231300).

Almost surely, 2189520407882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189520407882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248876409600).

189520407882 is an abundant number, since it is smaller than the sum of its proper divisors (308232411318).

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

189520407882 is a wasteful number, since it uses less digits than its factorization.

189520407882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 189520407882 in words is "one hundred eighty-nine billion, five hundred twenty million, four hundred seven thousand, eight hundred eighty-two".