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5329731078 = 23272193881
BaseRepresentation
bin1001111011010110…
…10011111000000110
3111202102211101120100
410331223103320012
541403402343303
62240510344530
7246034652400
oct47553237006
914672741510
105329731078
112295548931
121048abb146
1366c269139
14387bb3b70
15212d898a3
hex13dad3e06

5329731078 has 144 divisors (see below), whose sum is σ = 14195366640. Its totient is φ = 1440996480.

The previous prime is 5329731073. The next prime is 5329731083. The reversal of 5329731078 is 8701379235.

It is a happy number.

5329731078 is a `hidden beast` number, since 5 + 329 + 7 + 310 + 7 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5329731073) and next prime (5329731083).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329731073) 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, 6049198 + ... + 6050078.

It is an arithmetic number, because the mean of its divisors is an integer number (98578935).

Almost surely, 25329731078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5329731078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097683320).

5329731078 is an abundant number, since it is smaller than the sum of its proper divisors (8865635562).

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

5329731078 is a wasteful number, since it uses less digits than its factorization.

5329731078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5329731078 is about 73005.0072118344. The cubic root of 5329731078 is about 1746.7674833924.

The spelling of 5329731078 in words is "five billion, three hundred twenty-nine million, seven hundred thirty-one thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 361 399 441 722 798 881 882 931 1083 1197 1762 1862 2166 2394 2527 2643 2793 3249 5054 5286 5586 6167 6498 6859 7581 7929 8379 12334 13718 15162 15858 16739 16758 17689 18501 20577 22743 33478 35378 37002 41154 43169 45486 48013 50217 53067 55503 61731 86338 96026 100434 106134 111006 117173 123462 129507 144039 150651 159201 234346 259014 288078 301302 318041 318402 336091 351519 388521 432117 636082 672182 703038 777042 820211 864234 954123 1008273 1054557 1640422 1908246 2016546 2109114 2226287 2460633 2862369 3024819 4452574 4921266 5724738 6042779 6049638 6678861 7381899 12085558 13357722 14763798 15584009 18128337 20036583 31168018 36256674 40073166 42299453 46752027 54385011 84598906 93504054 108770022 126898359 140256081 253796718 280512162 296096171 380695077 592192342 761390154 888288513 1776577026 2664865539 5329731078