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11161386390 = 23571138912421
BaseRepresentation
bin10100110010100010…
…10011110110010110
31001210212010011202010
422121101103312112
5140324303331030
65043311125050
7543406135050
oct123121236626
931725104663
1011161386390
114808347880
1221b5b13786
13108b4b215b
1477c4c08d0
15454d1c6b0
hex299453d96

11161386390 has 128 divisors (see below), whose sum is σ = 33485736960. Its totient is φ = 2313100800.

The previous prime is 11161386389. The next prime is 11161386421. The reversal of 11161386390 is 9368316111.

It is a happy number.

11161386390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×111613863903 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 892380 + ... + 904800.

It is an arithmetic number, because the mean of its divisors is an integer number (261607320).

Almost surely, 211161386390 is an apocalyptic number.

11161386390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11161386390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16742868480).

11161386390 is an abundant number, since it is smaller than the sum of its proper divisors (22324350570).

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

11161386390 is a wasteful number, since it uses less digits than its factorization.

11161386390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12838.

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 11161386390 in words is "eleven billion, one hundred sixty-one million, three hundred eighty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 389 462 770 778 1155 1167 1945 2310 2334 2723 3890 4279 5446 5835 8169 8558 11670 12421 12837 13615 16338 21395 24842 25674 27230 29953 37263 40845 42790 59906 62105 64185 74526 81690 86947 89859 124210 128370 136631 149765 173894 179718 186315 260841 273262 299530 372630 409893 434735 449295 521682 683155 819786 869470 898590 956417 1304205 1366310 1912834 2049465 2608410 2869251 4098930 4782085 4831769 5738502 9564170 9663538 14346255 14495307 24158845 28692510 28990614 33822383 48317690 53149459 67644766 72476535 101467149 106298918 144953070 159448377 169111915 202934298 265747295 318896754 338223830 372046213 507335745 531494590 744092426 797241885 1014671490 1116138639 1594483770 1860231065 2232277278 3720462130 5580693195 11161386390