Base | Representation |
---|---|
bin | 1100001100000110100000… |
… | …1110000010000000000000 |
3 | 1202110020000122212110100200 |
4 | 3003001220032002000000 |
5 | 3224034342344102232 |
6 | 44300452023445200 |
7 | 2552160130256550 |
oct | 303015016020000 |
9 | 52406018773320 |
10 | 13402046472192 |
11 | 42a785992aa24 |
12 | 16054a62b6800 |
13 | 762a66292541 |
14 | 34493bcdd160 |
15 | 183940a7277c |
hex | c3068382000 |
13402046472192 has 1344 divisors, whose sum is σ = 47704242733056. Its totient is φ = 3543261511680.
The previous prime is 13402046472149. The next prime is 13402046472193. The reversal of 13402046472192 is 29127464020431.
13402046472192 is a `hidden beast` number, since 1 + 34 + 0 + 2 + 0 + 464 + 72 + 1 + 92 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×134020464721922 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (13402046472193) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60098862993 + ... + 60098863215.
It is an arithmetic number, because the mean of its divisors is an integer number (35494228224).
Almost surely, 213402046472192 is an apocalyptic number.
13402046472192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13402046472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852121366528).
13402046472192 is an abundant number, since it is smaller than the sum of its proper divisors (34302196260864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13402046472192 is a wasteful number, since it uses less digits than its factorization.
13402046472192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 429 (or 402 counting only the distinct ones).
The product of its (nonzero) digits is 580608, while the sum is 45.
The spelling of 13402046472192 in words is "thirteen trillion, four hundred two billion, forty-six million, four hundred seventy-two thousand, one hundred ninety-two".
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