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6331616240 = 2451920292053
BaseRepresentation
bin1011110010110010…
…01100101111110000
3121100021001102122012
411321121030233300
5100431343204430
62524140302052
7312621564365
oct57131145760
917307042565
106331616240
11275a039aa4
121288541928
1379b9b63b1
14440c9246c
15270cde695
hex17964cbf0

6331616240 has 80 divisors (see below), whose sum is σ = 15510986400. Its totient is φ = 2396998656.

The previous prime is 6331616209. The next prime is 6331616243. The reversal of 6331616240 is 426161336.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6331616197 and 6331616206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6331616243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3083054 + ... + 3085106.

It is an arithmetic number, because the mean of its divisors is an integer number (193887330).

Almost surely, 26331616240 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 6331616240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755493200).

6331616240 is an abundant number, since it is smaller than the sum of its proper divisors (9179370160).

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

6331616240 is a wasteful number, since it uses less digits than its factorization.

6331616240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 6331616240 is about 79571.4536752974. The cubic root of 6331616240 is about 1849.9991468221. Note that the first 3 decimals are identical.

Adding to 6331616240 its reverse (426161336), we get a palindrome (6757777576).

The spelling of 6331616240 in words is "six billion, three hundred thirty-one million, six hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2029 2053 4058 4106 8116 8212 10145 10265 16232 16424 20290 20530 32464 32848 38551 39007 40580 41060 77102 78014 81160 82120 154204 156028 162320 164240 192755 195035 308408 312056 385510 390070 616816 624112 771020 780140 1542040 1560280 3084080 3120560 4165537 8331074 16662148 20827685 33324296 41655370 66648592 79145203 83310740 158290406 166621480 316580812 333242960 395726015 633161624 791452030 1266323248 1582904060 3165808120 6331616240