Search a number
-
+
18407060219025 = 345267214232
BaseRepresentation
bin1000010111101101110100…
…10010010010010010010001
32102011200211200020022110000
410023312322102102102101
54403040124404002100
6103052030422200213
73606603053212512
oct413667222222221
972150750208400
1018407060219025
115957432693705
1220934b3283069
13a36a16cb94ba
14478c994c4a09
1521dc23513900
hex10bdba492491

18407060219025 has 135 divisors (see below), whose sum is σ = 34637073919371. Its totient is φ = 9663779014560.

The previous prime is 18407060218997. The next prime is 18407060219027. The reversal of 18407060219025 is 52091206070481.

The square root of 18407060219025 is 4290345.

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

18407060219025 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 7 + 0 + 602 + 19 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6626541678849 + 11780518540176 = 2574207^2 + 3432276^2 .

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

It is not a de Polignac number, because 18407060219025 - 235 = 18372700480657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18407060219027) 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, 12935389464 + ... + 12935390886.

Almost surely, 218407060219025 is an apocalyptic number.

18407060219025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18407060219025 is the 4290345-th square number.

18407060219025 is the 2145173-rd centered octagonal number.

It is an amenable number.

18407060219025 is a deficient number, since it is larger than the sum of its proper divisors (16230013700346).

18407060219025 is an frugal number, since it uses more digits than its factorization.

18407060219025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 18407060219025 in words is "eighteen trillion, four hundred seven billion, sixty million, two hundred nineteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 67 75 81 135 201 225 335 405 603 675 1005 1423 1675 1809 2025 3015 4269 4489 5025 5427 7115 9045 12807 13467 15075 21345 22445 27135 35575 38421 40401 45225 64035 67335 95341 106725 112225 115263 121203 135675 192105 202005 286023 320175 336675 363609 476705 576315 606015 858069 960525 1010025 1430115 1818045 2024929 2383525 2574207 2881575 3030075 4290345 6074787 6387847 7150575 7722621 9090225 10124645 12871035 18224361 19163541 21451725 30373935 31939235 38613105 50623225 54673083 57490623 64355175 91121805 95817705 135670243 151869675 159696175 164019249 172471869 193065525 273365415 287453115 407010729 455609025 479088525 517415607 678351215 820096245 862359345 1221032187 1366827075 1437265575 2035053645 2587078035 3391756075 3663096561 4100481225 4311796725 6105160935 9089906281 10175268225 10989289683 12935390175 18315482805 27269718843 30525804675 45449531405 54946448415 81809156529 91577414025 136348594215 227247657025 245427469587 274732242075 409045782645 681742971075 736282408761 1227137347935 2045228913225 3681412043805 6135686739675 18407060219025