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2585323115236 = 221721941312
BaseRepresentation
bin100101100111110001010…
…001000001001011100100
3100011011011121112220112201
4211213301101001023210
5314324220204141421
65255403034424244
7354532500615421
oct45476121011344
910134147486481
102585323115236
1190747a554654
12359077592084
13159a445a7984
148d1b77bcd48
15473b45adb91
hex259f14412e4

2585323115236 has 135 divisors (see below), whose sum is σ = 5112132259577. Its totient is φ = 1143791475840.

The previous prime is 2585323115213. The next prime is 2585323115371. The reversal of 2585323115236 is 6325113235852.

The square root of 2585323115236 is 1607894.

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., 2012794812900 + 572528302336 = 1418730^2 + 756656^2 .

It is a super-2 number, since 2×25853231152362 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19735290891 + ... + 19735291021.

Almost surely, 22585323115236 is an apocalyptic number.

2585323115236 is the 1607894-th square number.

It is an amenable number.

2585323115236 is a deficient number, since it is larger than the sum of its proper divisors (2526809144341).

2585323115236 is an frugal number, since it uses more digits than its factorization.

2585323115236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 169 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 46.

The spelling of 2585323115236 in words is "two trillion, five hundred eighty-five billion, three hundred twenty-three million, one hundred fifteen thousand, two hundred thirty-six".

Divisors: 1 2 4 17 19 34 38 68 76 131 262 289 323 361 524 578 646 722 1156 1292 1444 2227 2489 4454 4978 5491 6137 6859 8908 9956 10982 12274 13718 17161 21964 24548 27436 34322 37859 42313 47291 68644 75718 84626 94582 104329 116603 130321 151436 169252 189164 208658 233206 260642 291737 326059 417316 466412 521284 583474 652118 719321 803947 898529 1166948 1304236 1438642 1607894 1797058 1982251 2215457 2877284 3215788 3594116 3964502 4430914 4959529 5543003 6195121 7929004 8861828 9919058 11086006 12390242 13667099 15274993 17072051 19838116 22172012 24780484 27334198 30549986 34144102 37662769 54668396 61099972 68288204 75325538 94231051 105317057 117707299 150651076 188462102 210634114 235414598 259674881 290224867 376924204 421268228 470829196 519349762 580449734 1038699524 1160899468 1790389969 2001024083 2236438681 3580779938 4002048166 4472877362 4933822739 7161559876 8004096332 8945754724 9867645478 19735290956 34017409411 38019457577 68034818822 76038915154 136069637644 152077830308 646330778809 1292661557618 2585323115236