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2456238115253 = 13896921066049
BaseRepresentation
bin100011101111100011001…
…100110100100110110101
322200210222110100110222102
4203233203030310212311
5310220333424142003
65120214043111445
7342312604332536
oct43574314644665
98623873313872
102456238115253
1186775942258a
12338051212585
1314a81214c190
1486c4da5668d
1543d5bc3b588
hex23be33349b5

2456238115253 has 8 divisors (see below), whose sum is σ = 2645474559000. Its totient is φ = 2267043821568.

The previous prime is 2456238115241. The next prime is 2456238115267. The reversal of 2456238115253 is 3525118326542.

It can be written as a sum of positive squares in 4 ways, for example, as 614878676164 + 1841359439089 = 784142^2 + 1356967^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2456238115253 - 212 = 2456238111157 is a prime.

It is a super-2 number, since 2×24562381152532 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2456238115198 and 2456238115207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456238115223) 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 7 ways as a sum of consecutive naturals, for example, 10416428 + ... + 10649621.

It is an arithmetic number, because the mean of its divisors is an integer number (330684319875).

Almost surely, 22456238115253 is an apocalyptic number.

It is an amenable number.

2456238115253 is a deficient number, since it is larger than the sum of its proper divisors (189236443747).

2456238115253 is a wasteful number, since it uses less digits than its factorization.

2456238115253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21075031.

The product of its digits is 1728000, while the sum is 47.

The spelling of 2456238115253 in words is "two trillion, four hundred fifty-six billion, two hundred thirty-eight million, one hundred fifteen thousand, two hundred fifty-three".

Divisors: 1 13 8969 116597 21066049 273858637 188941393481 2456238115253