Search a number
-
+
36497137140 = 223851716361
BaseRepresentation
bin100001111111011001…
…100001110111110100
310111012112210200000000
4201333121201313310
51044221231342030
624433324151300
72431301355432
oct417731416764
9114175720000
1036497137140
1114529756362
1270a6998530
133598452b49
141aa32a5d52
15e39211860
hex87f661df4

36497137140 has 216 divisors, whose sum is σ = 121729942152. Its totient is φ = 9159505920.

The previous prime is 36497137109. The next prime is 36497137147. The reversal of 36497137140 is 4173179463.

36497137140 is a `hidden beast` number, since 3 + 6 + 497 + 13 + 7 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5772656484 + 30724480656 = 75978^2 + 175284^2 .

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 (36497137147) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2222560 + ... + 2238920.

It is an arithmetic number, because the mean of its divisors is an integer number (563564547).

Almost surely, 236497137140 is an apocalyptic number.

36497137140 is a gapful number since it is divisible by the number (30) 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 36497137140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60864971076).

36497137140 is an abundant number, since it is smaller than the sum of its proper divisors (85232805012).

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

36497137140 is a wasteful number, since it uses less digits than its factorization.

36497137140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16411 (or 16388 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 36497137140 in words is "thirty-six billion, four hundred ninety-seven million, one hundred thirty-seven thousand, one hundred forty".