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84053396592 = 2432112317912889
BaseRepresentation
bin100111001000111111…
…0010000110001110000
322000221211021221210200
41032101332100301300
52334120132142332
6102340311555200
76033631040244
oct1162176206160
9260854257720
1084053396592
1132712a50a20
121435938bb00
137c06b30939
1440d522c424
1522be29017c
hex1391f90c70

84053396592 has 240 divisors, whose sum is σ = 269291692800. Its totient is φ = 24225315840.

The previous prime is 84053396591. The next prime is 84053396593. The reversal of 84053396592 is 29569335048.

84053396592 is a `hidden beast` number, since 8 + 40 + 5 + 3 + 3 + 9 + 6 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (84053396591) and next prime (84053396593).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84053396591) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6514884 + ... + 6527772.

It is an arithmetic number, because the mean of its divisors is an integer number (1122048720).

Almost surely, 284053396592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84053396592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134645846400).

84053396592 is an abundant number, since it is smaller than the sum of its proper divisors (185238296208).

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

84053396592 is a wasteful number, since it uses less digits than its factorization.

84053396592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13116 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 84053396592 in words is "eighty-four billion, fifty-three million, three hundred ninety-six thousand, five hundred ninety-two".