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11020776678 = 233297339601
BaseRepresentation
bin10100100001110001…
…11011010011100110
31001110001112110111000
422100320323103212
5140032304323203
65021325254130
7540051025152
oct122070732346
931401473430
1011020776678
114745a396aa
122176a04346
131068320442
1476795c062
154477e54a3
hex290e3b4e6

11020776678 has 64 divisors (see below), whose sum is σ = 25372324800. Its totient is φ = 3541708800.

The previous prime is 11020776631. The next prime is 11020776721. The reversal of 11020776678 is 87667702011.

11020776678 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) 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, 1143078 + ... + 1152678.

It is an arithmetic number, because the mean of its divisors is an integer number (396442575).

Almost surely, 211020776678 is an apocalyptic number.

11020776678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020776678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12686162400).

11020776678 is an abundant number, since it is smaller than the sum of its proper divisors (14351548122).

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

11020776678 is a wasteful number, since it uses less digits than its factorization.

11020776678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 11020776678 in words is "eleven billion, twenty million, seven hundred seventy-six thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 733 783 1466 1566 2199 4398 6597 9601 13194 19202 19791 21257 28803 39582 42514 57606 63771 86409 127542 172818 191313 259227 278429 382626 518454 556858 573939 835287 1147878 1670574 2505861 5011722 7037533 7517583 14075066 15035166 21112599 42225198 63337797 126675594 190013391 204088457 380026782 408176914 612265371 1224530742 1836796113 3673592226 5510388339 11020776678