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11027829438 = 2324191462189
BaseRepresentation
bin10100100010100111…
…10101001010111110
31001110112210210001100
422101103311022332
5140041111020223
65022140353530
7540165001143
oct122123651276
931415723040
1011027829438
114749a1652a
1221792458a6
13106991c682
147688763ca
1544823a043
hex2914f52be

11027829438 has 24 divisors (see below), whose sum is σ = 23950672200. Its totient is φ = 3667167504.

The previous prime is 11027829431. The next prime is 11027829451. The reversal of 11027829438 is 83492872011.

It is a happy number.

11027829438 is a `hidden beast` number, since 110 + 27 + 82 + 9 + 438 = 666.

It is a super-2 number, since 2×110278294382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11027829393 and 11027829402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11027829431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723553 + ... + 738636.

It is an arithmetic number, because the mean of its divisors is an integer number (997944675).

Almost surely, 211027829438 is an apocalyptic number.

11027829438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11027829438 is an abundant number, since it is smaller than the sum of its proper divisors (12922842762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11027829438 is a wasteful number, since it uses less digits than its factorization.

11027829438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462616 (or 1462613 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11027829438 in words is "eleven billion, twenty-seven million, eight hundred twenty-nine thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 419 838 1257 2514 3771 7542 1462189 2924378 4386567 8773134 13159701 26319402 612657191 1225314382 1837971573 3675943146 5513914719 11027829438