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13481493120 = 27335780179
BaseRepresentation
bin11001000111000111…
…10100001010000000
31021210112210210212000
430203203310022000
5210102230234440
610105431104000
7655040541444
oct144343641200
937715723760
1013481493120
115798a51357
122742b12000
13136b077184
1491c6a4824
1553d861730
hex3238f4280

13481493120 has 128 divisors (see below), whose sum is σ = 47747016000. Its totient is φ = 3595060224.

The previous prime is 13481493013. The next prime is 13481493127. The reversal of 13481493120 is 2139418431.

13481493120 is a `hidden beast` number, since 1 + 3 + 48 + 1 + 493 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13481493127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372810 + ... + 407369.

Almost surely, 213481493120 is an apocalyptic number.

13481493120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13481493120 is an abundant number, since it is smaller than the sum of its proper divisors (34265522880).

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

13481493120 is an equidigital number, since it uses as much as digits as its factorization.

13481493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780207 (or 780189 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13481493120 in words is "thirteen billion, four hundred eighty-one million, four hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 780179 1560358 2340537 3120716 3900895 4681074 6241432 7021611 7801790 9362148 11702685 12482864 14043222 15603580 18724296 21064833 23405370 24965728 28086444 31207160 35108055 37448592 42129666 46810740 49931456 56172888 62414320 70216110 74897184 84259332 93621480 99862912 105324165 112345776 124828640 140432220 149794368 168518664 187242960 210648330 224691552 249657280 280864440 299588736 337037328 374485920 421296660 449383104 499314560 561728880 674074656 748971840 842593320 898766208 1123457760 1348149312 1497943680 1685186640 2246915520 2696298624 3370373280 4493831040 6740746560 13481493120