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253109083419 = 3415750339569
BaseRepresentation
bin1110101110111001111…
…0100001110100011011
3220012022121101122210000
43223232132201310123
513121331411132134
6312135434024043
724200164465623
oct3535636416433
9805277348700
10253109083419
119838552a685
1241079878023
131ab3924751a
14c3716d1883
1568b5c58e99
hex3aee7a1d1b

253109083419 has 40 divisors (see below), whose sum is σ = 381275627040. Its totient is φ = 167327057664.

The previous prime is 253109083397. The next prime is 253109083459. The reversal of 253109083419 is 914380901352.

It is a happy number.

253109083419 is a `hidden beast` number, since 2 + 53 + 109 + 0 + 83 + 419 = 666.

It is not a de Polignac number, because 253109083419 - 27 = 253109083291 is a prime.

It is a super-2 number, since 2×2531090834192 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253109083459) 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 39 ways as a sum of consecutive naturals, for example, 6376867 + ... + 6416435.

It is an arithmetic number, because the mean of its divisors is an integer number (9531890676).

Almost surely, 2253109083419 is an apocalyptic number.

253109083419 is a deficient number, since it is larger than the sum of its proper divisors (128166543621).

253109083419 is a wasteful number, since it uses less digits than its factorization.

253109083419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40241 (or 40232 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 253109083419 in words is "two hundred fifty-three billion, one hundred nine million, eighty-three thousand, four hundred nineteen".

Divisors: 1 3 9 27 81 157 471 503 1413 1509 4239 4527 12717 13581 39569 40743 78971 118707 236913 356121 710739 1068363 2132217 3205089 6212333 6396651 18636999 19903207 55910997 59709621 167732991 179128863 503198973 537386589 1612159767 3124803499 9374410497 28123231491 84369694473 253109083419