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11010816160 = 255193899311
BaseRepresentation
bin10100100000100101…
…11011100010100000
31001102100210102012221
422100102323202200
5140022232104120
65020332000424
7536600251561
oct122022734240
931370712187
1011010816160
114740356173
122173600114
131066243846
147664c8168
154469c90aa
hex2904bb8a0

11010816160 has 96 divisors (see below), whose sum is σ = 27455500800. Its totient is φ = 4161346560.

The previous prime is 11010816149. The next prime is 11010816169. The reversal of 11010816160 is 6161801011.

It is not an unprimeable number, because it can be changed into a prime (11010816169) by changing a digit.

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, 1177905 + ... + 1187215.

It is an arithmetic number, because the mean of its divisors is an integer number (285994800).

Almost surely, 211010816160 is an apocalyptic number.

11010816160 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 11010816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727750400).

11010816160 is an abundant number, since it is smaller than the sum of its proper divisors (16444684640).

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

11010816160 is a wasteful number, since it uses less digits than its factorization.

11010816160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 11010816160 in words is "eleven billion, ten million, eight hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 389 608 760 778 1520 1556 1945 3040 3112 3890 6224 7391 7780 9311 12448 14782 15560 18622 29564 31120 36955 37244 46555 59128 62240 73910 74488 93110 118256 147820 148976 176909 186220 236512 295640 297952 353818 372440 591280 707636 744880 884545 1182560 1415272 1489760 1769090 2830544 3538180 3621979 5661088 7076360 7243958 14152720 14487916 18109895 28305440 28975832 36219790 57951664 68817601 72439580 115903328 137635202 144879160 275270404 289758320 344088005 550540808 579516640 688176010 1101081616 1376352020 2202163232 2752704040 5505408080 11010816160