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513231362064 = 24323564106681
BaseRepresentation
bin1110111011111101111…
…10010001100000010000
31211001201222100112210100
413131332332101200100
531402044212041224
61031435241132400
752036231412061
oct7357676214020
91731658315710
10513231362064
111887297a6673
128357418a100
13395224379b5
141abaa5b6568
15d53c536ac9
hex777ef91810

513231362064 has 30 divisors (see below), whose sum is σ = 1436334992846. Its totient is φ = 171077120640.

The previous prime is 513231361991. The next prime is 513231362101. The reversal of 513231362064 is 460263132315.

513231362064 is a `hidden beast` number, since 5 + 1 + 3 + 23 + 1 + 3 + 620 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 310828550400 + 202402811664 = 557520^2 + 449892^2 .

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

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, 1782053197 + ... + 1782053484.

Almost surely, 2513231362064 is an apocalyptic number.

It is an amenable number.

513231362064 is an abundant number, since it is smaller than the sum of its proper divisors (923103630782).

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

513231362064 is a wasteful number, since it uses less digits than its factorization.

513231362064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564106695 (or 3564106686 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 513231362064 its reverse (460263132315), we get a palindrome (973494494379).

The spelling of 513231362064 in words is "five hundred thirteen billion, two hundred thirty-one million, three hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3564106681 7128213362 10692320043 14256426724 21384640086 28512853448 32076960129 42769280172 57025706896 64153920258 85538560344 128307840516 171077120688 256615681032 513231362064