Search a number
-
+
3005253401325 = 352729209195977
BaseRepresentation
bin101011101110110111000…
…011111011101011101101
3101122022002021110201021120
4223232313003323223231
5343214224332320300
610220332214051153
7430056660300660
oct53566703735355
911568067421246
103005253401325
11a5958021a96a
12406531349ab9
1318a5180223b6
14a56528bb6d7
1553290a523a0
hex2bbb70fbaed

3005253401325 has 48 divisors (see below), whose sum is σ = 5678721240960. Its totient is φ = 1373776081920.

The previous prime is 3005253401291. The next prime is 3005253401333. The reversal of 3005253401325 is 5231043525003.

3005253401325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3005253401325 - 226 = 3005186292461 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15236737 + ... + 15432713.

It is an arithmetic number, because the mean of its divisors is an integer number (118306692520).

Almost surely, 23005253401325 is an apocalyptic number.

3005253401325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3005253401325 is a deficient number, since it is larger than the sum of its proper divisors (2673467839635).

3005253401325 is a wasteful number, since it uses less digits than its factorization.

3005253401325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225206 (or 225201 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 3005253401325 its reverse (5231043525003), we get a palindrome (8236296926328).

The spelling of 3005253401325 in words is "three trillion, five billion, two hundred fifty-three million, four hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 29209 87627 146045 195977 204463 438135 587931 613389 730225 979885 1022315 1371839 2190675 2939655 3066945 4115517 4899425 5111575 6859195 14698275 15334725 20577585 34295975 102887925 5724292193 17172876579 28621460965 40070045351 85864382895 120210136053 143107304825 200350226755 429321914475 601050680265 1001751133775 3005253401325