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2180214668025 = 325217325692
BaseRepresentation
bin11111101110011110111…
…010111011101011111001
321201102111220112112101100
4133232132322323223321
5241210034423334100
64345324330442013
7313341515623332
oct37563672735371
97642456475340
102180214668025
11770695384259
122b2659593309
1312a7937ca404
1477746da9289
153baa448b400
hex1fb9eebbaf9

2180214668025 has 81 divisors (see below), whose sum is σ = 3934624445479. Its totient is φ = 1154028138240.

The previous prime is 2180214667993. The next prime is 2180214668029. The reversal of 2180214668025 is 5208664120812.

The square root of 2180214668025 is 1476555.

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

2180214668025 is a `hidden beast` number, since 2 + 180 + 2 + 1 + 466 + 8 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1153624216761 + 1026590451264 = 1074069^2 + 1013208^2 .

It is not a de Polignac number, because 2180214668025 - 25 = 2180214667993 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2180214668029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3831659941 + ... + 3831660509.

Almost surely, 22180214668025 is an apocalyptic number.

2180214668025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2180214668025 is the 1476555-th square number.

2180214668025 is the 738278-th centered octagonal number.

It is an amenable number.

2180214668025 is a deficient number, since it is larger than the sum of its proper divisors (1754409777454).

2180214668025 is an frugal number, since it uses more digits than its factorization.

2180214668025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 2180214668025 its reverse (5208664120812), we get a palindrome (7388878788837).

The spelling of 2180214668025 in words is "two trillion, one hundred eighty billion, two hundred fourteen million, six hundred sixty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 173 225 519 569 865 1557 1707 2595 2845 4325 5121 7785 8535 12975 14225 25605 29929 38925 42675 89787 98437 128025 149645 269361 295311 323761 448935 492185 748225 885933 971283 1346805 1476555 1618805 2244675 2460925 2913849 4429665 4856415 6734025 7382775 8094025 14569245 17029601 22148325 24282075 51088803 56010653 72846225 85148005 153266409 168031959 255444015 280053265 425740025 504095877 766332045 840159795 1277220075 1400266325 2520479385 3831660225 4200798975 9689842969 12602396925 29069528907 48449214845 87208586721 145347644535 242246074225 436042933605 726738222675 2180214668025