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13401334728 = 2332186129649
BaseRepresentation
bin11000111101100100…
…00010001111001000
31021120221222100012200
430132302002033020
5204421220202403
610053445040200
7653045315505
oct143662021710
937527870180
1013401334728
115757782151
1227200b6060
13135758c982
14911b9a4ac
155367caca3
hex31ec823c8

13401334728 has 24 divisors (see below), whose sum is σ = 36295281750. Its totient is φ = 4467111552.

The previous prime is 13401334697. The next prime is 13401334781. The reversal of 13401334728 is 82743310431.

13401334728 is a `hidden beast` number, since 13 + 40 + 133 + 472 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11693827044 + 1707507684 = 108138^2 + 41322^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 13401334692 and 13401334701.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93064753 + ... + 93064896.

Almost surely, 213401334728 is an apocalyptic number.

13401334728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13401334728 is an abundant number, since it is smaller than the sum of its proper divisors (22893947022).

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

13401334728 is a wasteful number, since it uses less digits than its factorization.

13401334728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186129661 (or 186129654 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13401334728 in words is "thirteen billion, four hundred one million, three hundred thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 186129649 372259298 558388947 744518596 1116777894 1489037192 1675166841 2233555788 3350333682 4467111576 6700667364 13401334728