Search a number
-
+
189928031040 = 2633511171923269
BaseRepresentation
bin1011000011100010010…
…1111100001101000000
3200011020102002122112000
42300320211330031000
511102433033443130
6223130212504000
716502410425006
oct2607045741500
9604212078460
10189928031040
1173603470910
123098661b000
1314baa753c27
14929a586a76
154e190ec260
hex2c3897c340

189928031040 has 1792 divisors, whose sum is σ = 853244928000. Its totient is φ = 39123025920.

The previous prime is 189928031011. The next prime is 189928031047. The reversal of 189928031040 is 40130829981.

189928031040 is a `hidden beast` number, since 18 + 9 + 9 + 280 + 310 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189928031047) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 706052026 + ... + 706052294.

Almost surely, 2189928031040 is an apocalyptic number.

189928031040 is a gapful number since it is divisible by the number (10) 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 189928031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426622464000).

189928031040 is an abundant number, since it is smaller than the sum of its proper divisors (663316896960).

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

189928031040 is a wasteful number, since it uses less digits than its factorization.

189928031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 189928031040 in words is "one hundred eighty-nine billion, nine hundred twenty-eight million, thirty-one thousand, forty".