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6612129225 = 34521321392
BaseRepresentation
bin1100010100001110…
…10001010111001001
3122001210212222010000
412022013101113021
5102020201113400
63012040513213
7322566112452
oct61207212711
918053788100
106612129225
112893413609
12134647b809
13814b50400
1446a232129
1528a74e600
hex18a1d15c9

6612129225 has 135 divisors (see below), whose sum is σ = 13358672613. Its totient is φ = 3231783360.

The previous prime is 6612129211. The next prime is 6612129259. The reversal of 6612129225 is 5229212166.

The square root of 6612129225 is 81315.

It is a perfect power (a square), and thus also a powerful number.

6612129225 is a `hidden beast` number, since 6 + 612 + 12 + 9 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1704286089 + 4907843136 = 41283^2 + 70056^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6612129225 - 25 = 6612129193 is a prime.

Its product of digits (25920) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 6612129225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47569206 + ... + 47569344.

Almost surely, 26612129225 is an apocalyptic number.

6612129225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6612129225 is the 81315-th square number.

6612129225 is the 40658-th centered octagonal number.

It is an amenable number.

6612129225 is an abundant number, since it is smaller than the sum of its proper divisors (6746543388).

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

6612129225 is a wasteful number, since it uses less digits than its factorization.

6612129225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 160 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 6612129225 is about 1876.9258292863.

Multiplying 6612129225 by its sum of digits (36), we get a square (238036652100 = 4878902).

The spelling of 6612129225 in words is "six billion, six hundred twelve million, one hundred twenty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 139 169 195 225 325 351 405 417 507 585 675 695 845 975 1053 1251 1521 1755 1807 2025 2085 2535 2925 3475 3753 4225 4563 5265 5421 6255 7605 8775 9035 10425 11259 12675 13689 16263 18765 19321 22815 23491 26325 27105 31275 38025 45175 48789 56295 57963 68445 70473 81315 93825 96605 114075 117455 135525 146367 173889 211419 243945 251173 281475 289815 342225 352365 406575 483025 521667 587275 634257 731835 753519 869445 1057095 1219725 1255865 1449075 1565001 1761825 1902771 2260557 2608335 3171285 3265249 3659175 3767595 4347225 5285475 6279325 6781671 7825005 9513855 9795747 11302785 13041675 15856425 16326245 18837975 20345013 29387241 33908355 39125025 47569275 48978735 56513925 81631225 88161723 101725065 146936205 169541775 244893675 264485169 440808615 508625325 734681025 1322425845 2204043075 6612129225