Search a number
-
+
71116744500 = 2235532812083
BaseRepresentation
bin100001000111011100…
…0110110011100110100
320210120020200221100000
41002032320312130310
52131121341311000
652400502351300
75065224232344
oct1021670663464
9223506627300
1071116744500
112818460380a
1211948a2b530
13692490ba09
143629072d24
151cb36a3000
hex108ee36734

71116744500 has 288 divisors, whose sum is σ = 233598927744. Its totient is φ = 18887904000.

The previous prime is 71116744499. The next prime is 71116744541. The reversal of 71116744500 is 544761117.

71116744500 is a `hidden beast` number, since 71 + 1 + 16 + 74 + 4 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 34140459 + ... + 34142541.

It is an arithmetic number, because the mean of its divisors is an integer number (811107388).

Almost surely, 271116744500 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 71116744500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116799463872).

71116744500 is an abundant number, since it is smaller than the sum of its proper divisors (162482183244).

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

71116744500 is a wasteful number, since it uses less digits than its factorization.

71116744500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 71116744500 in words is "seventy-one billion, one hundred sixteen million, seven hundred forty-four thousand, five hundred".