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13405267421712 = 2432182351065351
BaseRepresentation
bin1100001100010010100000…
…1100111110101000010000
31202110112100010122122110100
43003010220030332220100
53224112441424443322
644302143403532400
72552333011012125
oct303045014765020
952415303578410
1013405267421712
1142a9161a91a81
121606044b2a100
1376315a68772a
14344b659bc74c
15183a7d70cdac
hexc312833ea10

13405267421712 has 60 divisors (see below), whose sum is σ = 37536710425344. Its totient is φ = 4465971249600.

The previous prime is 13405267421657. The next prime is 13405267421729. The reversal of 13405267421712 is 21712476250431.

13405267421712 is a `hidden beast` number, since 1 + 3 + 40 + 526 + 74 + 2 + 1 + 7 + 12 = 666.

It is a super-2 number, since 2×134052674217122 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25270164 + ... + 25795187.

Almost surely, 213405267421712 is an apocalyptic number.

13405267421712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13405267421712 is an abundant number, since it is smaller than the sum of its proper divisors (24131443003632).

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

13405267421712 is a wasteful number, since it uses less digits than its factorization.

13405267421712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51067188 (or 51067179 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 13405267421712 in words is "thirteen trillion, four hundred five billion, two hundred sixty-seven million, four hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1823 3646 5469 7292 10938 14584 16407 21876 29168 32814 43752 65628 87504 131256 262512 51065351 102130702 153196053 204261404 306392106 408522808 459588159 612784212 817045616 919176318 1225568424 1838352636 2451136848 3676705272 7353410544 93092134873 186184269746 279276404619 372368539492 558552809238 744737078984 837829213857 1117105618476 1489474157968 1675658427714 2234211236952 3351316855428 4468422473904 6702633710856 13405267421712