Search a number
-
+
189034481376 = 25331331283211
BaseRepresentation
bin1011000000001101010…
…1010100011011100000
3200001221010201121211000
42300003111110123200
511044120311401001
6222501412552000
716441310402646
oct2600325243340
9601833647730
10189034481376
1173195044814
1230777322600
1314a975a8510
149213a29196
154db5946a86
hex2c035546e0

189034481376 has 576 divisors, whose sum is σ = 623868376320. Its totient is φ = 55346457600.

The previous prime is 189034481263. The next prime is 189034481411. The reversal of 189034481376 is 673184430981.

189034481376 is a `hidden beast` number, since 1 + 8 + 90 + 3 + 4 + 481 + 3 + 76 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895897911 + ... + 895898121.

It is an arithmetic number, because the mean of its divisors is an integer number (1083104820).

Almost surely, 2189034481376 is an apocalyptic number.

189034481376 is a gapful number since it is divisible by the number (16) 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 189034481376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311934188160).

189034481376 is an abundant number, since it is smaller than the sum of its proper divisors (434833894944).

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

189034481376 is a wasteful number, since it uses less digits than its factorization.

189034481376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 189034481376 in words is "one hundred eighty-nine billion, thirty-four million, four hundred eighty-one thousand, three hundred seventy-six".