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11058190668 = 22327173183267
BaseRepresentation
bin10100100110001111…
…01001100101001100
31001112122221021211100
422103013221211030
5140121344100133
65025143223100
7541014032640
oct122307514514
931478837740
1011058190668
114765073358
122187447a90
131072cbcbb5
1476c8dac20
1544ac35e13
hex2931e994c

11058190668 has 144 divisors (see below), whose sum is σ = 34916603904. Its totient is φ = 2877672960.

The previous prime is 11058190667. The next prime is 11058190697. The reversal of 11058190668 is 86609185011.

11058190668 is a `hidden beast` number, since 1 + 1 + 0 + 581 + 9 + 0 + 6 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (11058190667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91171 + ... + 174437.

It is an arithmetic number, because the mean of its divisors is an integer number (242476416).

Almost surely, 211058190668 is an apocalyptic number.

11058190668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11058190668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17458301952).

11058190668 is an abundant number, since it is smaller than the sum of its proper divisors (23858413236).

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

11058190668 is a wasteful number, since it uses less digits than its factorization.

11058190668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83332 (or 83327 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 11058190668 in words is "eleven billion, fifty-eight million, one hundred ninety thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3689 3906 4284 4743 6324 7378 7812 9486 11067 14756 18972 22134 33201 44268 66402 83267 132804 166534 249801 333068 499602 582869 749403 999204 1165738 1415539 1498806 1748607 2331476 2581277 2831078 2997612 3497214 4246617 5162554 5245821 5662156 6994428 7743831 8493234 9908773 10325108 10491642 12739851 15487662 16986468 18068939 19817546 20983284 23231493 25479702 29726319 30975324 36137878 39635092 43881709 46462986 50959404 54206817 59452638 72275756 87763418 89178957 92925972 108413634 118905276 131645127 162620451 175526836 178357914 216827268 263290254 307171963 325240902 356715828 394935381 526580508 614343926 650481804 789870762 921515889 1228687852 1579741524 1843031778 2764547667 3686063556 5529095334 11058190668