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18380580625 = 54112172292
BaseRepresentation
bin10001000111100100…
…010110011100010001
31202102222022020111101
4101013210112130101
5300120412040000
612235515344401
71220326233421
oct210744263421
952388266441
1018380580625
1178823a4300
12368b752101
13196c032b14
14c651b8481
157289d2e6a
hex447916711

18380580625 has 135 divisors (see below), whose sum is σ = 27775328581. Its totient is φ = 12147520000.

The previous prime is 18380580623. The next prime is 18380580629. The reversal of 18380580625 is 52608508381.

The square root of 18380580625 is 135575.

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

It can be written as a sum of positive squares in 22 ways, for example, as 18356727169 + 23853456 = 135487^2 + 4884^2 .

It is not a de Polignac number, because 18380580625 - 21 = 18380580623 is a prime.

It is a super-2 number, since 2×183805806252 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18380580623) 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, 633813111 + ... + 633813139.

Almost surely, 218380580625 is an apocalyptic number.

18380580625 is the 135575-th square number.

18380580625 is the 67788-th centered octagonal number.

It is an amenable number.

18380580625 is a deficient number, since it is larger than the sum of its proper divisors (9394747956).

18380580625 is an equidigital number, since it uses as much as digits as its factorization.

18380580625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 18380580625 in words is "eighteen billion, three hundred eighty million, five hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 11 17 25 29 55 85 121 125 145 187 275 289 319 425 493 605 625 725 841 935 1375 1445 1595 2057 2125 2465 3025 3179 3509 3625 4205 4675 5423 6875 7225 7975 8381 9251 10285 10625 12325 14297 15125 15895 17545 18125 21025 23375 27115 34969 36125 39875 41905 46255 51425 59653 61625 71485 75625 79475 87725 92191 101761 105125 116875 135575 157267 174845 180625 199375 209525 231275 243049 257125 298265 308125 357425 397375 438625 460955 508805 525625 677875 786335 874225 1014101 1047625 1156375 1215245 1285625 1491325 1729937 1787125 1986875 2193125 2304775 2544025 2673539 3389375 3931675 4371125 5070505 5238125 5781875 6076225 7456625 8649685 8935625 11523875 12720125 13367695 19658375 21855625 25352525 29408929 30381125 37283125 43248425 57619375 63600625 66838475 98291875 126762625 147044645 151905625 216242125 334192375 633813125 735223225 1081210625 1670961875 3676116125 18380580625