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287623053025 = 52741121992
BaseRepresentation
bin1000010111101111010…
…10110111111011100001
31000111101221111222100121
410023313222313323201
514203023000144100
6340044320120241
726531365420000
oct4136752677341
91014357458317
10287623053025
11100a86795900
12478b0466081
1321179867749
14dcc7440c37
157735cd051a
hex42f7ab7ee1

287623053025 has 135 divisors (see below), whose sum is σ = 459642763923. Its totient is φ = 178396495200.

The previous prime is 287623053017. The next prime is 287623053041. The reversal of 287623053025 is 520350326782.

The square root of 287623053025 is 536305.

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

It can be written as a sum of positive squares in only one way, i.e., 103544299089 + 184078753936 = 321783^2 + 429044^2 .

It is not a de Polignac number, because 287623053025 - 23 = 287623053017 is a prime.

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, 1445341876 + ... + 1445342074.

Almost surely, 2287623053025 is an apocalyptic number.

287623053025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

287623053025 is the 536305-th square number.

287623053025 is the 268153-rd centered octagonal number.

It is an amenable number.

287623053025 is a deficient number, since it is larger than the sum of its proper divisors (172019710898).

287623053025 is an frugal number, since it uses more digits than its factorization.

287623053025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 287623053025 in words is "two hundred eighty-seven billion, six hundred twenty-three million, fifty-three thousand, twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 199 245 275 343 385 539 605 847 995 1225 1393 1715 1925 2189 2401 2695 3025 3773 4235 4975 5929 6965 8575 9751 10945 12005 13475 15323 18865 21175 24079 26411 29645 34825 39601 41503 48755 54725 60025 68257 76615 94325 107261 120395 132055 148225 168553 198005 207515 243775 277207 290521 341285 383075 435611 477799 536305 601975 660275 750827 842765 990025 1037575 1179871 1386035 1452605 1706425 1940449 2178055 2388995 2681525 3049277 3754135 4213825 4791721 5255789 5899355 6930175 7263025 8259097 9702245 10890275 11944975 13583143 15246385 18770675 21344939 23958605 26278945 29496775 33542047 41295485 48511225 57813679 67915715 76231925 95082001 106724695 119793025 131394725 149414573 167710235 206477425 234794329 289068395 339578575 475410005 533623475 747072865 838551175 1045902011 1173971645 1445341975 1643560303 2377050025 3735364325 5229510055 5869858225 8217801515 11504922121 26147550275 41089007575 57524610605 287623053025