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345364463543 = 111723526115263
BaseRepresentation
bin1010000011010010101…
…00110111111110110111
31020000110001011112210112
411001221110313332313
521124301300313133
6422354103013235
733644311334501
oct5015124677667
91200401145715
10345364463543
11123517266190
1256b25a3a21b
132674c3bb348
1412a03d64d71
158eb50e1648
hex5069537fb7

345364463543 has 32 divisors (see below), whose sum is σ = 416374566912. Its totient is φ = 282578982400.

The previous prime is 345364463531. The next prime is 345364463617.

345364463543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345364463543 - 232 = 341069496247 is a prime.

It is a super-2 number, since 2×3453644635432 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345364463491 and 345364463500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345364465543) by changing a digit.

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, 22619930 + ... + 22635192.

It is an arithmetic number, because the mean of its divisors is an integer number (13011705216).

Almost surely, 2345364463543 is an apocalyptic number.

345364463543 is a deficient number, since it is larger than the sum of its proper divisors (71010103369).

345364463543 is a wasteful number, since it uses less digits than its factorization.

345364463543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20575.

The product of its digits is 18662400, while the sum is 50.

The spelling of 345364463543 in words is "three hundred forty-five billion, three hundred sixty-four million, four hundred sixty-three thousand, five hundred forty-three".

Divisors: 1 11 17 23 187 253 391 4301 5261 15263 57871 89437 121003 167893 259471 351049 983807 1331033 2057051 2854181 3861539 5967833 22627561 65646163 80298643 883285073 1365076931 1846868789 15015846241 20315556679 31396769413 345364463543