Search a number
-
+
265105561230 = 23354341954497
BaseRepresentation
bin1111011011100110000…
…1011101011010001110
3221100021122212212121000
43312321201131122032
513320414010424410
6321442100121130
725103364042606
oct3667141353216
9840248785530
10265105561230
11a24811a5a54
12434673961a6
131bccb747ac3
14cb8ca73c06
156d69030dc0
hex3db985d68e

265105561230 has 128 divisors (see below), whose sum is σ = 725128588800. Its totient is φ = 68884687872.

The previous prime is 265105561199. The next prime is 265105561247. The reversal of 265105561230 is 32165501562.

265105561230 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 0 + 5 + 5 + 612 + 30 = 666.

It is a super-2 number, since 2×2651055612302 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4837342 + ... + 4891838.

It is an arithmetic number, because the mean of its divisors is an integer number (5665067100).

Almost surely, 2265105561230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265105561230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362564294400).

265105561230 is an abundant number, since it is smaller than the sum of its proper divisors (460023027570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

265105561230 is a wasteful number, since it uses less digits than its factorization.

265105561230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54975 (or 54969 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 265105561230 in words is "two hundred sixty-five billion, one hundred five million, five hundred sixty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 419 430 645 774 838 1161 1257 1290 1935 2095 2322 2514 3771 3870 4190 5805 6285 7542 11313 11610 12570 18017 18855 22626 36034 37710 54051 54497 56565 90085 108102 108994 113130 162153 163491 180170 270255 272485 324306 326982 486459 490473 540510 544970 810765 817455 972918 980946 1471419 1621530 1634910 2343371 2432295 2452365 2942838 4686742 4864590 4904730 7030113 7357095 11716855 14060226 14714190 21090339 22834243 23433710 35150565 42180678 45668486 63271017 68502729 70301130 105451695 114171215 126542034 137005458 205508187 210903390 228342430 316355085 342513645 411016374 616524561 632710170 685027290 981872449 1027540935 1233049122 1963744898 2055081870 2945617347 3082622805 4909362245 5891234694 6165245610 8836852041 9818724490 14728086735 17673704082 26510556123 29456173470 44184260205 53021112246 88368520410 132552780615 265105561230