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1838542425120 = 253251276765573
BaseRepresentation
bin11010110000010001101…
…010110000110000100000
320111202121011221020010100
4122300101222300300200
5220110313330100440
63524340440502400
7246554536522302
oct32602152606040
96452534836110
101838542425120
116497a32a5095
122583a417aa00
131044b233ab0b
1464db355b972
1532c585c6230
hex1ac11ab0c20

1838542425120 has 72 divisors (see below), whose sum is σ = 6274026030636. Its totient is φ = 490277979648.

The previous prime is 1838542425119. The next prime is 1838542425211. The reversal of 1838542425120 is 215242458381.

1838542425120 is a `hidden beast` number, since 1 + 8 + 3 + 85 + 424 + 25 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1766591873424 + 71950551696 = 1329132^2 + 268236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×18385424251202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638381347 + ... + 638384226.

Almost surely, 21838542425120 is an apocalyptic number.

1838542425120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1838542425120 is an abundant number, since it is smaller than the sum of its proper divisors (4435483605516).

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

1838542425120 is a wasteful number, since it uses less digits than its factorization.

1838542425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276765594 (or 1276765583 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1838542425120 in words is "one trillion, eight hundred thirty-eight billion, five hundred forty-two million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1276765573 2553531146 3830296719 5107062292 6383827865 7660593438 10214124584 11490890157 12767655730 15321186876 19151483595 20428249168 22981780314 25535311460 30642373752 38302967190 40856498336 45963560628 51070622920 57454450785 61284747504 76605934380 91927121256 102141245840 114908901570 122569495008 153211868760 183854242512 204282491680 229817803140 306423737520 367708485024 459635606280 612847475040 919271212560 1838542425120