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352343565343253 = 11228111039395051
BaseRepresentation
bin101000000011101000110000…
…1000011010001101000010101
31201012112201022212202110200202
41100013101201003101220111
5332140244110211441003
63245212222132150245
7134133661004022311
oct12007214103215025
91635481285673622
10352343565343253
11a22a4081070900
1233626663168385
131217ab17b07973
14630173b92ab41
152ab03e865a088
hex14074610d1a15

352343565343253 has 24 divisors (see below), whose sum is σ = 389017385624448. Its totient is φ = 318883029080000.

The previous prime is 352343565343243. The next prime is 352343565343279.

It is a happy number.

352343565343253 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-352343565343253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352343565343243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32805578 + ... + 42200628.

It is an arithmetic number, because the mean of its divisors is an integer number (16209057734352).

Almost surely, 2352343565343253 is an apocalyptic number.

It is an amenable number.

352343565343253 is a deficient number, since it is larger than the sum of its proper divisors (36673820281195).

352343565343253 is a wasteful number, since it uses less digits than its factorization.

352343565343253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396457 (or 9396446 counting only the distinct ones).

The product of its digits is 174960000, while the sum is 56.

The spelling of 352343565343253 in words is "three hundred fifty-two trillion, three hundred forty-three billion, five hundred sixty-five million, three hundred forty-three thousand, two hundred fifty-three".

Divisors: 1 11 121 281 1103 3091 12133 34001 133463 309943 3409373 9395051 37503103 103345561 1136801171 2640009331 10362741253 29040102641 113990153783 319441129051 1253891691613 2911930292093 32031233213023 352343565343253