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11077096884 = 22372353108179
BaseRepresentation
bin10100101000011111…
…10001010110110100
31001120222111211021120
422110033301112310
5140141214100014
65031100343540
7541333525050
oct122417612664
931528454246
1011077096884
114774806927
122191844bb0
131076bac4c9
1477121cc60
1544c71cba9
hex2943f15b4

11077096884 has 96 divisors (see below), whose sum is σ = 31405086720. Its totient is φ = 2970135168.

The previous prime is 11077096871. The next prime is 11077096897. The reversal of 11077096884 is 48869077011.

11077096884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11077096871) and next prime (11077096897).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48307 + ... + 156485.

It is an arithmetic number, because the mean of its divisors is an integer number (327136320).

Almost surely, 211077096884 is an apocalyptic number.

11077096884 is a gapful number since it is divisible by the number (14) 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 11077096884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702543360).

11077096884 is an abundant number, since it is smaller than the sum of its proper divisors (20327989836).

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

11077096884 is a wasteful number, since it uses less digits than its factorization.

11077096884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108269 (or 108267 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 11077096884 in words is "eleven billion, seventy-seven million, ninety-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 53 69 84 92 106 138 159 161 212 276 318 322 371 483 636 644 742 966 1113 1219 1484 1932 2226 2438 3657 4452 4876 7314 8533 14628 17066 25599 34132 51198 102396 108179 216358 324537 432716 649074 757253 1298148 1514506 2271759 2488117 3029012 4543518 4976234 5733487 7464351 9087036 9952468 11466974 14928702 17200461 17416819 22933948 29857404 34400922 34833638 40134409 52250457 68801844 69667276 80268818 104500914 120403227 131870201 160537636 209001828 240806454 263740402 395610603 481612908 527480804 791221206 923091407 1582442412 1846182814 2769274221 3692365628 5538548442 11077096884