Search a number
-
+
5235665764 = 22719311671901
BaseRepresentation
bin1001110000001000…
…11110101101100100
3111111212211101012211
410320010132231210
541210312301024
62223310253204
7243513265450
oct47004365544
914455741184
105235665764
1122474401aa
1210214b7204
136559229a4
143794c9660
152099a8594
hex13811eb64

5235665764 has 96 divisors (see below), whose sum is σ = 11452170240. Its totient is φ = 2043792000.

The previous prime is 5235665761. The next prime is 5235665819. The reversal of 5235665764 is 4675665325.

It is not an unprimeable number, because it can be changed into a prime (5235665761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2753214 + ... + 2755114.

It is an arithmetic number, because the mean of its divisors is an integer number (119293440).

Almost surely, 25235665764 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 5235665764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726085120).

5235665764 is an abundant number, since it is smaller than the sum of its proper divisors (6216504476).

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

5235665764 is a wasteful number, since it uses less digits than its factorization.

5235665764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2127 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 49.

The square root of 5235665764 is about 72357.9004946937. The cubic root of 5235665764 is about 1736.4300969670.

The spelling of 5235665764 in words is "five billion, two hundred thirty-five million, six hundred sixty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 167 217 266 334 434 532 589 668 868 1169 1178 1901 2338 2356 3173 3802 4123 4676 5177 6346 7604 8246 10354 12692 13307 16492 20708 22211 26614 36119 36239 44422 53228 58931 72238 72478 88844 98363 117862 144476 144956 196726 235724 252833 317467 393452 412517 505666 634934 688541 825034 1011332 1119689 1269868 1377082 1650068 2222269 2239378 2754164 4444538 4478756 6031873 7837823 8889076 9841477 12063746 15675646 19682954 24127492 31351292 39365908 42223111 68890339 84446222 137780678 168892444 186988063 275561356 373976126 747952252 1308916441 2617832882 5235665764