Search a number
-
+
2605066201260 = 2233522921066361
BaseRepresentation
bin100101111010001010000…
…010111010100010101100
3100020001010112122121002000
4211322022002322202230
5320140133421420020
65312430105332300
7356131653233115
oct45721202724254
910201115577060
102605066201260
11914890a58376
12360a67497090
1315b86c98bbb3
149012b90920c
1547b6c9cc090
hex25e8a0ba8ac

2605066201260 has 96 divisors (see below), whose sum is σ = 8140042276800. Its totient is φ = 691650731520.

The previous prime is 2605066201249. The next prime is 2605066201279. The reversal of 2605066201260 is 621026605062.

2605066201260 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 0 + 6 + 620 + 1 + 26 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10409521 + ... + 10656840.

It is an arithmetic number, because the mean of its divisors is an integer number (84792107050).

Almost surely, 22605066201260 is an apocalyptic number.

2605066201260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2605066201260 is an abundant number, since it is smaller than the sum of its proper divisors (5534976075540).

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

2605066201260 is a wasteful number, since it uses less digits than its factorization.

2605066201260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21066608 (or 21066600 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2605066201260 in words is "two trillion, six hundred five billion, sixty-six million, two hundred one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 229 270 458 540 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6183 6870 8244 10305 12366 13740 20610 24732 30915 41220 61830 123660 21066361 42132722 63199083 84265444 105331805 126398166 189597249 210663610 252796332 315995415 379194498 421327220 568791747 631990830 758388996 947986245 1137583494 1263981660 1895972490 2275166988 2843958735 3791944980 4824196669 5687917470 9648393338 11375834940 14472590007 19296786676 24120983345 28945180014 43417770021 48241966690 57890360028 72362950035 86835540042 96483933380 130253310063 144725900070 173671080084 217088850105 260506620126 289451800140 434177700210 521013240252 651266550315 868355400420 1302533100630 2605066201260