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11019960576 = 28316
BaseRepresentation
bin10100100001101011…
…10100000100000000
31001110000000000000000
422100311310010000
5140032102214301
65021300000000
7540041055642
oct122065640400
931400000000
1011019960576
114745531539
122176690000
1310680c5b41
147677c8892
154476d3786
hex290d74100

11019960576 has 153 divisors (see below), whose sum is σ = 32995311391. Its totient is φ = 3673320192.

The previous prime is 11019960503. The next prime is 11019960617. The reversal of 11019960576 is 67506991011.

The square root of 11019960576 is 104976.

It is a perfect power (a square, a biquadrate, a 8-th power), and thus also a powerful number.

11019960576 is a `hidden beast` number, since 1 + 1 + 0 + 19 + 9 + 60 + 576 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 16 ways as a sum of consecutive naturals, for example, 3673320191 + 3673320192 + 3673320193.

Almost surely, 211019960576 is an apocalyptic number.

11019960576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11019960576 is the 104976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11019960576

11019960576 is an abundant number, since it is smaller than the sum of its proper divisors (21975350815).

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

11019960576 is an frugal number, since it uses more digits than its factorization.

11019960576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 11019960576 in words is "eleven billion, nineteen million, nine hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6561 6912 7776 8748 10368 11664 13122 15552 17496 19683 20736 23328 26244 31104 34992 39366 46656 52488 59049 62208 69984 78732 93312 104976 118098 139968 157464 177147 186624 209952 236196 279936 314928 354294 419904 472392 531441 559872 629856 708588 839808 944784 1062882 1259712 1417176 1594323 1679616 1889568 2125764 2519424 2834352 3188646 3779136 4251528 4782969 5038848 5668704 6377292 7558272 8503056 9565938 11337408 12754584 14348907 15116544 17006112 19131876 22674816 25509168 28697814 34012224 38263752 43046721 45349632 51018336 57395628 68024448 76527504 86093442 102036672 114791256 136048896 153055008 172186884 204073344 229582512 306110016 344373768 408146688 459165024 612220032 688747536 918330048 1224440064 1377495072 1836660096 2754990144 3673320192 5509980288 11019960576