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1091010816 = 2833722549
BaseRepresentation
bin100000100000111…
…1000000100000000
32211000221002111000
41001001320010000
54213244321231
6300132052000
736015303360
oct10101700400
92730832430
101091010816
1150a935635
12265464000
1314505423c
14a4c7c9a0
1565bac6e6
hex41078100

1091010816 has 144 divisors (see below), whose sum is σ = 3687376000. Its totient is φ = 311703552.

The previous prime is 1091010797. The next prime is 1091010829. The reversal of 1091010816 is 6180101901.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1091010816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37110 + ... + 59658.

Almost surely, 21091010816 is an apocalyptic number.

1091010816 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 1091010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843688000).

1091010816 is an abundant number, since it is smaller than the sum of its proper divisors (2596365184).

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

1091010816 is an equidigital number, since it uses as much as digits as its factorization.

1091010816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22581 (or 22561 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 1091010816 is about 33030.4528579310. The cubic root of 1091010816 is about 1029.4604947885.

The spelling of 1091010816 in words is "one billion, ninety-one million, ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 22549 24192 45098 48384 67647 90196 135294 157843 180392 202941 270588 315686 360784 405882 473529 541176 608823 631372 721568 811764 947058 1082352 1217646 1262744 1420587 1443136 1623528 1894116 2164704 2435292 2525488 2841174 2886272 3247056 3788232 4261761 4329408 4870584 5050976 5682348 5772544 6494112 7576464 8523522 8658816 9741168 10101952 11364696 12988224 15152928 17047044 17317632 19482336 20203904 22729392 25976448 30305856 34094088 38964672 40407808 45458784 51952896 60611712 68188176 77929344 90917568 121223424 136376352 155858688 181835136 272752704 363670272 545505408 1091010816