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11016493257 = 3721137184133
BaseRepresentation
bin10100100001010001…
…00101100011001001
31001102202110211201210
422100220211203021
5140030210241012
65021053403333
7536666435100
oct122050454311
931382424653
1011016493257
114743583490
122175499549
131067480883
14767165037
1544724b23c
hex290a258c9

11016493257 has 48 divisors (see below), whose sum is σ = 19144043712. Its totient is φ = 5568151680.

The previous prime is 11016493217. The next prime is 11016493261. The reversal of 11016493257 is 75239461011.

It is not a de Polignac number, because 11016493257 - 27 = 11016493129 is a prime.

It is a super-3 number, since 3×110164932573 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11016493217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32238 + ... + 151895.

It is an arithmetic number, because the mean of its divisors is an integer number (398834244).

Almost surely, 211016493257 is an apocalyptic number.

It is an amenable number.

11016493257 is a deficient number, since it is larger than the sum of its proper divisors (8127550455).

11016493257 is a wasteful number, since it uses less digits than its factorization.

11016493257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184198 (or 184191 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 11016493257 in words is "eleven billion, sixteen million, four hundred ninety-three thousand, two hundred fifty-seven".

Divisors: 1 3 7 11 21 33 37 49 77 111 147 231 259 407 539 777 1221 1617 1813 2849 5439 8547 19943 59829 184133 552399 1288931 2025463 3866793 6076389 6812921 9022517 14178241 20438763 27067551 42534723 47690447 74942131 99247687 143071341 224826393 297743061 333833129 524594917 1001499387 1573784751 3672164419 11016493257