Search a number
-
+
189289968384 = 28311243127373
BaseRepresentation
bin1011000001001010001…
…1111011001100000000
3200002120221110201002210
42300102203323030000
511100131212442014
6222543020542120
716450532120016
oct2602243731400
9602527421083
10189289968384
1173306285a00
12308289b1940
1314b084bc56a
1492399328b6
154dcd0b1859
hex2c128fb300

189289968384 has 432 divisors, whose sum is σ = 572620353536. Its totient is φ = 55436451840.

The previous prime is 189289968331. The next prime is 189289968443. The reversal of 189289968384 is 483869982981.

It is a happy number.

It is a super-3 number, since 3×1892899683843 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507479622 + ... + 507479994.

Almost surely, 2189289968384 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 189289968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286310176768).

189289968384 is an abundant number, since it is smaller than the sum of its proper divisors (383330385152).

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

189289968384 is a wasteful number, since it uses less digits than its factorization.

189289968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 559 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 75.

The spelling of 189289968384 in words is "one hundred eighty-nine billion, two hundred eighty-nine million, nine hundred sixty-eight thousand, three hundred eighty-four".