Search a number
-
+
12325541445 = 335713042901
BaseRepresentation
bin10110111101010100…
…01101011001000101
31011210222200101021000
423132222031121011
5200220314311240
65355015043513
7614303242110
oct133652153105
934728611230
1012325541445
1152554a0798
12247b970599
1312157360b9
1484cd5d577
154c2127430
hex2dea8d645

12325541445 has 32 divisors (see below), whose sum is σ = 25042371840. Its totient is φ = 5634532800.

The previous prime is 12325541407. The next prime is 12325541479. The reversal of 12325541445 is 54414552321.

12325541445 is a `hidden beast` number, since 1 + 232 + 5 + 5 + 414 + 4 + 5 = 666.

It is not a de Polignac number, because 12325541445 - 219 = 12325017157 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6520506 + ... + 6522395.

It is an arithmetic number, because the mean of its divisors is an integer number (782574120).

Almost surely, 212325541445 is an apocalyptic number.

12325541445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12325541445 is an abundant number, since it is smaller than the sum of its proper divisors (12716830395).

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

12325541445 is a wasteful number, since it uses less digits than its factorization.

12325541445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042922 (or 13042916 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 12325541445 in words is "twelve billion, three hundred twenty-five million, five hundred forty-one thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 13042901 39128703 65214505 91300307 117386109 195643515 273900921 352158327 456501535 586930545 821702763 1369504605 1760791635 2465108289 4108513815 12325541445