Search a number
-
+
6006233025 = 3452131713421
BaseRepresentation
bin1011001011111111…
…11101011111000001
3120111120210020210000
411211333331133001
544300043424100
62431554230213
7301561065312
oct54577753701
916446706700
106006233025
1126023a8851
1211b7585369
1374946bb50
1440d992609
15252469900
hex165ffd7c1

6006233025 has 120 divisors (see below), whose sum is σ = 12687172344. Its totient is φ = 2782771200.

The previous prime is 6006232979. The next prime is 6006233027. The reversal of 6006233025 is 5203326006.

6006233025 is a `hidden beast` number, since 6 + 0 + 0 + 623 + 30 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 561121344 + 5445111681 = 23688^2 + 73791^2 .

It is not a de Polignac number, because 6006233025 - 29 = 6006232513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6006233025.

It is not an unprimeable number, because it can be changed into a prime (6006233027) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 440815 + ... + 454235.

Almost surely, 26006233025 is an apocalyptic number.

6006233025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6006233025 is an abundant number, since it is smaller than the sum of its proper divisors (6680939319).

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

6006233025 is a wasteful number, since it uses less digits than its factorization.

6006233025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13473 (or 13459 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 6006233025 is about 77499.8904837936. The cubic root of 6006233025 is about 1817.7496060728.

The spelling of 6006233025 in words is "six billion, six million, two hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 81 85 117 135 153 195 221 225 255 325 351 405 425 459 585 663 675 765 975 1053 1105 1275 1377 1755 1989 2025 2295 2925 3315 3825 5265 5525 5967 6885 8775 9945 11475 13421 16575 17901 26325 29835 34425 40263 49725 67105 89505 120789 149175 174473 201315 228157 335525 362367 447525 523419 603945 684471 872365 1006575 1087101 1140785 1570257 1811835 2053413 2617095 2966041 3019725 3422355 4361825 4710771 5435505 5703925 6160239 7851285 8898123 9059175 10267065 13085475 14132313 14830205 17111775 18480717 23553855 26694369 27177525 30801195 39256425 44490615 51335325 70661565 74151025 80083107 92403585 117769275 133471845 154005975 222453075 240249321 353307825 400415535 462017925 667359225 1201246605 2002077675 6006233025