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11134625334 = 2374710951749
BaseRepresentation
bin10100101111010110…
…01110011000110110
31001201222202120110220
422113223032120312
5140300431002314
65040513355210
7542632516350
oct122753163066
931658676426
1011134625334
1147a42298a8
1221a8b68b06
131085aa2501
14778b160d0
154527d33a9
hex297ace636

11134625334 has 64 divisors (see below), whose sum is σ = 26231040000. Its totient is φ = 3085008768.

The previous prime is 11134625329. The next prime is 11134625357. The reversal of 11134625334 is 43352643111.

It is a super-2 number, since 2×111346253342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11134625295 and 11134625304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189292 + ... + 241040.

It is an arithmetic number, because the mean of its divisors is an integer number (409860000).

Almost surely, 211134625334 is an apocalyptic number.

11134625334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134625334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115520000).

11134625334 is an abundant number, since it is smaller than the sum of its proper divisors (15096414666).

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

11134625334 is a wasteful number, since it uses less digits than its factorization.

11134625334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51917.

The product of its digits is 25920, while the sum is 33.

The spelling of 11134625334 in words is "eleven billion, one hundred thirty-four million, six hundred twenty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 94 109 141 218 282 327 329 654 658 763 987 1526 1974 2289 4578 5123 10246 15369 30738 35861 51749 71722 103498 107583 155247 215166 310494 362243 724486 1086729 2173458 2432203 4864406 5640641 7296609 11281282 14593218 16921923 17025421 33843846 34050842 39484487 51076263 78968974 102152526 118453461 236906922 265110127 530220254 795330381 1590660762 1855770889 3711541778 5567312667 11134625334