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468249476253 = 313411310322349
BaseRepresentation
bin1101101000001011101…
…01111111110010011101
31122202122002222222201120
412310011311333302131
530132433331220003
6555035535201153
745554441606616
oct6640565776235
91582562888646
10468249476253
11170646693029
12768bb9761b9
13352041c9810
1418940500c0d
15c2a84c5853
hex6d05d7fc9d

468249476253 has 32 divisors (see below), whose sum is σ = 688840588800. Its totient is φ = 281091356160.

The previous prime is 468249476243. The next prime is 468249476257. The reversal of 468249476253 is 352674942864.

It is a happy number.

It is not a de Polignac number, because 468249476253 - 212 = 468249472157 is a prime.

It is a super-2 number, since 2×4682494762532 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468249476257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20940523 + ... + 20962871.

It is an arithmetic number, because the mean of its divisors is an integer number (21526268400).

Almost surely, 2468249476253 is an apocalyptic number.

It is an amenable number.

468249476253 is a deficient number, since it is larger than the sum of its proper divisors (220591112547).

468249476253 is a wasteful number, since it uses less digits than its factorization.

468249476253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35509.

The product of its digits is 69672960, while the sum is 60.

The spelling of 468249476253 in words is "four hundred sixty-eight billion, two hundred forty-nine million, four hundred seventy-six thousand, two hundred fifty-three".

Divisors: 1 3 13 39 41 123 533 1599 13103 22349 39309 67047 170339 290537 511017 537223 871611 916309 1611669 2748927 6983899 11912017 20951697 35736051 292838947 878516841 3806906311 11420718933 12006396827 36019190481 156083158751 468249476253