Search a number
-
+
189789602663808 = 2735743155913003
BaseRepresentation
bin101011001001110011010101…
…110110010100110110000000
3220212222201010201200201100000
4223021303111312110312000
5144334003101240220213
61511352050111200000
754655563165042540
oct5311632566246600
9825881121621300
10189789602663808
1155522355998604
12193525b5b16000
1381b910ca09074
1434c1c199c1320
1516e1ce2ecec73
hexac9cd5d94d80

189789602663808 has 768 divisors, whose sum is σ = 662805016473600. Its totient is φ = 52926496229376.

The previous prime is 189789602663783. The next prime is 189789602663813. The reversal of 189789602663808 is 808366206987981.

189789602663808 is a `hidden beast` number, since 1 + 8 + 97 + 8 + 96 + 0 + 2 + 66 + 380 + 8 = 666.

It is a super-2 number, since 2×1897896026638082 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14595825435 + ... + 14595838437.

It is an arithmetic number, because the mean of its divisors is an integer number (863027365200).

Almost surely, 2189789602663808 is an apocalyptic number.

189789602663808 is a gapful number since it is divisible by the number (18) 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 189789602663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331402508236800).

189789602663808 is an abundant number, since it is smaller than the sum of its proper divisors (473015413809792).

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

189789602663808 is a wasteful number, since it uses less digits than its factorization.

189789602663808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14641 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 189789602663808 in words is "one hundred eighty-nine trillion, seven hundred eighty-nine billion, six hundred two million, six hundred sixty-three thousand, eight hundred eight".