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1828283169120 = 25353808923269
BaseRepresentation
bin11010100110101110001…
…010110011100101100000
320110210010012100000121220
4122212232022303211200
5214423310442402440
63515522433215040
7246042363345042
oct32465612634540
96423105300556
101828283169120
11645409205221
12256400401480
13103538a19c35
14646bcbcda92
1532857aa68d0
hex1a9ae2b3960

1828283169120 has 48 divisors (see below), whose sum is σ = 5759091984240. Its totient is φ = 487542178304.

The previous prime is 1828283169059. The next prime is 1828283169127. The reversal of 1828283169120 is 219613828281.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×18282831691203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828283169127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1904461155 + ... + 1904462114.

It is an arithmetic number, because the mean of its divisors is an integer number (119981083005).

Almost surely, 21828283169120 is an apocalyptic number.

1828283169120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828283169120 is an abundant number, since it is smaller than the sum of its proper divisors (3930808815120).

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

1828283169120 is a wasteful number, since it uses less digits than its factorization.

1828283169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808923287 (or 3808923279 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 1828283169120 in words is "one trillion, eight hundred twenty-eight billion, two hundred eighty-three million, one hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3808923269 7617846538 11426769807 15235693076 19044616345 22853539614 30471386152 38089232690 45707079228 57133849035 60942772304 76178465380 91414158456 114267698070 121885544608 152356930760 182828316912 228535396140 304713861520 365656633824 457070792280 609427723040 914141584560 1828283169120