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345057750543 = 31133734139091
BaseRepresentation
bin1010000010101110000…
…10110110111000001111
31012222122200000220122210
411001113002312320033
521123134241004133
6422303425041503
733633565325502
oct5012702667017
91188580026583
10345057750543
1112337a117170
1256a5b186293
13267009acb6c
14129b5325139
158e98208763
hex50570b6e0f

345057750543 has 32 divisors (see below), whose sum is σ = 503594387712. Its totient is φ = 208421337600.

The previous prime is 345057750517. The next prime is 345057750589.

345057750543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345057750543 - 29 = 345057750031 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 345057750492 and 345057750501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345057750043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37951428 + ... + 37960518.

It is an arithmetic number, because the mean of its divisors is an integer number (15737324616).

Almost surely, 2345057750543 is an apocalyptic number.

345057750543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345057750543 is a deficient number, since it is larger than the sum of its proper divisors (158536637169).

345057750543 is a wasteful number, since it uses less digits than its factorization.

345057750543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855.

The product of its (nonzero) digits is 4410000, while the sum is 48.

The spelling of 345057750543 in words is "three hundred forty-five billion, fifty-seven million, seven hundred fifty thousand, five hundred forty-three".

Divisors: 1 3 11 33 337 1011 3413 3707 9091 10239 11121 27273 37543 100001 112629 300003 1150181 3063667 3450543 9191001 12651991 31027583 33700337 37955973 93082749 101101011 341303413 1023910239 10456295471 31368886413 115019250181 345057750543