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5164405326 = 232231011131093
BaseRepresentation
bin1001100111101001…
…01001001001001110
3111022220201222021100
410303310221021032
541034041432301
62212243043530
7241656502203
oct46364511116
914286658240
105164405326
112210199183
1210016705a6
13643c32552
1436dc59caa
152035ce286
hex133d2924e

5164405326 has 96 divisors (see below), whose sum is σ = 11906885952. Its totient is φ = 1614412800.

The previous prime is 5164405273. The next prime is 5164405339. The reversal of 5164405326 is 6235044615.

5164405326 is a `hidden beast` number, since 5 + 1 + 644 + 0 + 5 + 3 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4724436 + ... + 4725528.

It is an arithmetic number, because the mean of its divisors is an integer number (124030062).

Almost surely, 25164405326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5164405326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953442976).

5164405326 is an abundant number, since it is smaller than the sum of its proper divisors (6742480626).

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

5164405326 is a wasteful number, since it uses less digits than its factorization.

5164405326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5164405326 is about 71863.7970469137. The cubic root of 5164405326 is about 1728.5161439603.

The spelling of 5164405326 in words is "five billion, one hundred sixty-four million, four hundred five thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 69 101 113 138 202 207 226 303 339 414 606 678 909 1017 1093 1818 2034 2186 2323 2599 3279 4646 5198 6558 6969 7797 9837 11413 13938 15594 19674 20907 22826 23391 25139 34239 41814 46782 50278 68478 75417 102717 110393 123509 150834 205434 220786 226251 247018 262499 331179 370527 452502 524998 662358 741054 787497 993537 1111581 1574994 1987074 2223162 2362491 2539039 2840707 4724982 5078078 5681414 7617117 8522121 12474409 15234234 17044242 22851351 24948818 25566363 37423227 45702702 51132726 74846454 112269681 224539362 286911407 573822814 860734221 1721468442 2582202663 5164405326