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253779929227 = 1131731972
BaseRepresentation
bin1110110001011001110…
…1100110100010001011
3220021001100201011020001
43230112131212202023
513124220130213402
6312330200343431
724222621543406
oct3542635464213
9807040634201
10253779929227
119869a177000
1241226474b77
131ac152198c6
14c3d683ad3d
156904abd187
hex3b1676688b

253779929227 has 48 divisors (see below), whose sum is σ = 298094614560. Its totient is φ = 216035684480.

The previous prime is 253779929219. The next prime is 253779929237. The reversal of 253779929227 is 722929977352.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 253779929227 - 23 = 253779929219 is a prime.

It is a super-2 number, since 2×2537799292272 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253779929237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288222893 + ... + 1288223089.

It is an arithmetic number, because the mean of its divisors is an integer number (6210304470).

Almost surely, 2253779929227 is an apocalyptic number.

253779929227 is a deficient number, since it is larger than the sum of its proper divisors (44314685333).

253779929227 is an frugal number, since it uses more digits than its factorization.

253779929227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 225 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 64.

The spelling of 253779929227 in words is "two hundred fifty-three billion, seven hundred seventy-nine million, nine hundred twenty-nine thousand, two hundred twenty-seven".

Divisors: 1 11 17 121 187 197 289 1331 2057 2167 3179 3349 4913 22627 23837 34969 36839 38809 54043 56933 262207 384659 405229 426899 594473 626263 659753 967861 4457519 4695889 6539203 6888893 7257283 10646471 11215801 51654779 75777823 79830113 117111181 123373811 190668617 878131243 1288222991 1357111921 2097354787 14928231131 23070902657 253779929227