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53480355308435 = 51131217011445407
BaseRepresentation
bin11000010100011110111011…
…00101001010001110010011
321000100200010220200112010102
430022033131211022032103
524002210231424332220
6305424311442123015
714156554026424406
oct1412173545121623
9230320126615112
1053480355308435
1116049989383780
125bb8a2695046b
1323ac2394ba4a3
14d2c66a6cbd3d
1562b230552775
hex30a3dd94a393

53480355308435 has 32 divisors (see below), whose sum is σ = 72272435134464. Its totient is φ = 37638372240000.

The previous prime is 53480355308377. The next prime is 53480355308441.

53480355308435 is nontrivially palindromic in base 10.

53480355308435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53480355308435 - 28 = 53480355308179 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36277502 + ... + 37722908.

It is an arithmetic number, because the mean of its divisors is an integer number (2258513597952).

Almost surely, 253480355308435 is an apocalyptic number.

53480355308435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53480355308435 is a deficient number, since it is larger than the sum of its proper divisors (18792079826029).

53480355308435 is a wasteful number, since it uses less digits than its factorization.

53480355308435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467155.

The product of its (nonzero) digits is 51840000, while the sum is 56.

The spelling of 53480355308435 in words is "fifty-three trillion, four hundred eighty billion, three hundred fifty-five million, three hundred eight thousand, four hundred thirty-five".

Divisors: 1 5 11 31 55 155 341 1705 21701 108505 238711 672731 1193555 1445407 3363655 7227035 7400041 15899477 37000205 44807617 79497385 224038085 492883787 2464418935 31366777307 156833886535 345034550377 972370096517 1725172751885 4861850482585 10696071061687 53480355308435