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11026588896 = 2532193165003
BaseRepresentation
bin10100100010011110…
…00110010011100000
31001110110110202100100
422101033012103200
5140040301321041
65022054022400
7540151313331
oct122117062340
931413422310
1011026588896
114749249494
122178947a00
1310695a6b1b
14768632288
154480926b6
hex2913c64e0

11026588896 has 144 divisors (see below), whose sum is σ = 34072496640. Its totient is φ = 3369703680.

The previous prime is 11026588889. The next prime is 11026588897. The reversal of 11026588896 is 69888562011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11026588897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137131 + ... + 202133.

It is an arithmetic number, because the mean of its divisors is an integer number (236614560).

Almost surely, 211026588896 is an apocalyptic number.

11026588896 is a gapful number since it is divisible by the number (16) 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 11026588896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17036248320).

11026588896 is an abundant number, since it is smaller than the sum of its proper divisors (23045907744).

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

11026588896 is a wasteful number, since it uses less digits than its factorization.

11026588896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65069 (or 65058 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11026588896 in words is "eleven billion, twenty-six million, five hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 456 496 558 589 608 684 744 912 992 1116 1178 1368 1488 1767 1824 2232 2356 2736 2976 3534 4464 4712 5301 5472 7068 8928 9424 10602 14136 18848 21204 28272 42408 56544 65003 84816 130006 169632 195009 260012 390018 520024 585027 780036 1040048 1170054 1235057 1560072 2015093 2080096 2340108 2470114 3120144 3705171 4030186 4680216 4940228 6045279 6240288 7410342 8060372 9360432 9880456 11115513 12090558 14820684 16120744 18135837 18720864 19760912 22231026 24181116 29641368 32241488 36271674 38286767 39521824 44462052 48362232 59282736 64482976 72543348 76573534 88924104 96724464 114860301 118565472 145086696 153147068 177848208 193448928 229720602 290173392 306294136 344580903 355696416 459441204 580346784 612588272 689161806 918882408 1225176544 1378323612 1837764816 2756647224 3675529632 5513294448 11026588896