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11011994880 = 283510726801
BaseRepresentation
bin10100100000101110…
…11011010100000000
31001102110000022010020
422100113123110000
5140023032314010
65020413133440
7536613261225
oct122027332400
931373008106
1011011994880
114740a90817
122173a8a280
131066567203
1476671394c
15446b5d470
hex2905db500

11011994880 has 144 divisors (see below), whose sum is σ = 35499570624. Its totient is φ = 2908979200.

The previous prime is 11011994837. The next prime is 11011994899. The reversal of 11011994880 is 8849911011.

It is a happy number.

It is a super-3 number, since 3×110119948803 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 397480 + ... + 424280.

It is an arithmetic number, because the mean of its divisors is an integer number (246524796).

Almost surely, 211011994880 is an apocalyptic number.

11011994880 is a gapful number since it is divisible by the number (10) 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 11011994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749785312).

11011994880 is an abundant number, since it is smaller than the sum of its proper divisors (24487575744).

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

11011994880 is a wasteful number, since it uses less digits than its factorization.

11011994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26932 (or 26918 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 42.

The spelling of 11011994880 in words is "eleven billion, eleven million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 128 160 192 214 240 256 320 321 384 428 480 535 640 642 768 856 960 1070 1280 1284 1605 1712 1920 2140 2568 3210 3424 3840 4280 5136 6420 6848 8560 10272 12840 13696 17120 20544 25680 26801 27392 34240 41088 51360 53602 68480 80403 82176 102720 107204 134005 136960 160806 205440 214408 268010 321612 402015 410880 428816 536020 643224 804030 857632 1072040 1286448 1608060 1715264 2144080 2572896 2867707 3216120 3430528 4288160 5145792 5735414 6432240 6861056 8576320 8603121 10291584 11470828 12864480 14338535 17152640 17206242 20583168 22941656 25728960 28677070 34305280 34412484 43015605 45883312 51457920 57354140 68824968 86031210 91766624 102915840 114708280 137649936 172062420 183533248 229416560 275299872 344124840 367066496 458833120 550599744 688249680 734132992 917666240 1101199488 1376499360 1835332480 2202398976 2752998720 3670664960 5505997440 11011994880