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3077129930625 = 325419212312
BaseRepresentation
bin101100110001110011001…
…111001000011110000001
3101220011121110211201102100
4230301303033020132001
5400403430230240000
610313340341341013
7435213101564352
oct54616317103601
911804543751370
103077129930625
11a870046971a3
12418450707769
131942311734ca
14a8d1080bd29
155509ac86a00
hex2cc733c8781

3077129930625 has 135 divisors (see below), whose sum is σ = 5866626085749. Its totient is φ = 1553497380000.

The previous prime is 3077129930617. The next prime is 3077129930627. The reversal of 3077129930625 is 5260399217703.

The square root of 3077129930625 is 1754175.

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

3077129930625 is a `hidden beast` number, since 3 + 0 + 7 + 7 + 1 + 2 + 9 + 9 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 241246986561 + 2835882944064 = 491169^2 + 1684008^2 .

It is not a de Polignac number, because 3077129930625 - 23 = 3077129930617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3077129930627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2499698760 + ... + 2499699990.

Almost surely, 23077129930625 is an apocalyptic number.

3077129930625 is the 1754175-th square number.

3077129930625 is the 877088-th centered octagonal number.

It is an amenable number.

3077129930625 is a deficient number, since it is larger than the sum of its proper divisors (2789496155124).

3077129930625 is an frugal number, since it uses more digits than its factorization.

3077129930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 3077129930625 in words is "three trillion, seventy-seven billion, one hundred twenty-nine million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 361 375 475 625 855 1083 1125 1231 1425 1805 1875 2375 3249 3693 4275 5415 5625 6155 7125 9025 11079 11875 16245 18465 21375 23389 27075 30775 35625 45125 55395 70167 81225 92325 106875 116945 135375 153875 210501 225625 276975 350835 406125 444391 461625 584725 676875 769375 1052505 1333173 1384875 1515361 1754175 2030625 2221955 2308125 2923625 3999519 4546083 5262525 6665865 6924375 7576805 8770875 11109775 13638249 14618125 19997595 22730415 26312625 28791859 33329325 37884025 43854375 55548875 68191245 86375577 99987975 113652075 131563125 143959295 166646625 189420125 259126731 277744375 340956225 431877885 499939875 547045321 568260375 719796475 833233125 947100625 1295633655 1641135963 1704781125 2159389425 2499699375 2735226605 2841301875 3598982375 4923407889 6478168275 8205679815 8523905625 10796947125 13676133025 17994911875 24617039445 32390841375 41028399075 53984735625 68380665125 123085197225 161954206875 205141995375 341903325625 615425986125 1025709976875 3077129930625