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11611053405 = 3357113227479
BaseRepresentation
bin10101101000001001…
…01001110101011101
31002222012020121221000
422310010221311131
5142234412202110
65200053100513
7560506216440
oct126404516535
932865217830
1011611053405
114a19156306
122300627739
1311306c3403
147c20d3657
1547e5421c0
hex2b4129d5d

11611053405 has 128 divisors (see below), whose sum is σ = 23954227200. Its totient is φ = 5226826752.

The previous prime is 11611053401. The next prime is 11611053449. The reversal of 11611053405 is 50435011611.

11611053405 is a `hidden beast` number, since 1 + 1 + 611 + 0 + 5 + 3 + 40 + 5 = 666.

11611053405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11611053405 - 22 = 11611053401 is a prime.

It is a super-2 number, since 2×116110534052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11611053401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24239956 + ... + 24240434.

It is an arithmetic number, because the mean of its divisors is an integer number (187142400).

Almost surely, 211611053405 is an apocalyptic number.

11611053405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11611053405 is an abundant number, since it is smaller than the sum of its proper divisors (12343173795).

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

11611053405 is a wasteful number, since it uses less digits than its factorization.

11611053405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 11611053405 in words is "eleven billion, six hundred eleven million, fifty-three thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 113 135 189 227 315 339 479 565 681 791 945 1017 1135 1437 1589 1695 2043 2373 2395 3051 3353 3405 3955 4311 4767 5085 6129 7119 7185 7945 10059 10215 11865 12933 14301 15255 16765 21357 21555 23835 25651 30177 30645 35595 42903 50295 54127 64665 71505 76953 90531 106785 108733 128255 150885 162381 179557 214515 230859 270635 326199 378889 384765 452655 487143 538671 543665 692577 761131 811905 897785 978597 1136667 1154295 1461429 1616013 1630995 1894445 2283393 2435715 2693355 2935791 3410001 3462885 3805655 4848039 4892985 5683335 6850179 7307145 8080065 10230003 11416965 12286829 14678955 17050005 20550537 24240195 34250895 36860487 51150015 61434145 86007803 102752685 110581461 184302435 258023409 331744383 430039015 552907305 774070227 1290117045 1658721915 2322210681 3870351135 11611053405