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350247742053 = 311192412317879
BaseRepresentation
bin1010001100011000110…
…01000110101001100101
31020111001100220210120120
411012030121012221211
521214301410221203
6424522424352153
734206315454206
oct5061431065145
91214040823516
10350247742053
111255a27a0650
1257a69315659
132704a000361
1412d487215ad
15919db8db53
hex518c646a65

350247742053 has 32 divisors (see below), whose sum is σ = 538489881600. Its totient is φ = 200264659200.

The previous prime is 350247742051. The next prime is 350247742057.

350247742053 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 350247742053 - 21 = 350247742051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 350247741996 and 350247742014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350247742051) 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 31 ways as a sum of consecutive naturals, for example, 1007833 + ... + 1310046.

It is an arithmetic number, because the mean of its divisors is an integer number (16827808800).

Almost surely, 2350247742053 is an apocalyptic number.

350247742053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

350247742053 is a deficient number, since it is larger than the sum of its proper divisors (188242139547).

350247742053 is a wasteful number, since it uses less digits than its factorization.

350247742053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318153.

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 350247742053 in words is "three hundred fifty billion, two hundred forty-seven million, seven hundred forty-two thousand, fifty-three".

Divisors: 1 3 11 19 33 57 209 241 627 723 2651 4579 7953 13737 50369 151107 2317879 6953637 25496669 44039701 76490007 132119103 484436711 558608839 1453310133 1675826517 6144697229 10613567941 18434091687 31840703823 116749247351 350247742053