Search a number
-
+
11097362976 = 2537113146141
BaseRepresentation
bin10100101010111010…
…00101001000100000
31001122101122110010120
422111131011020200
5140211411103401
65033103000240
7542001012630
oct122535051040
931571573116
1011097362976
114785199067
122198599080
13107b156a8b
14773bb66c0
1544e3c2836
hex295745220

11097362976 has 96 divisors (see below), whose sum is σ = 33586939008. Its totient is φ = 3142594560.

The previous prime is 11097362953. The next prime is 11097363001. The reversal of 11097362976 is 67926379011.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 2866 + ... + 149006.

It is an arithmetic number, because the mean of its divisors is an integer number (349863948).

Almost surely, 211097362976 is an apocalyptic number.

11097362976 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 11097362976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793469504).

11097362976 is an abundant number, since it is smaller than the sum of its proper divisors (22489576032).

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

11097362976 is a wasteful number, since it uses less digits than its factorization.

11097362976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146274 (or 146266 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The spelling of 11097362976 in words is "eleven billion, ninety-seven million, three hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 336 339 452 672 678 791 904 1356 1582 1808 2373 2712 3164 3616 4746 5424 6328 9492 10848 12656 18984 25312 37968 75936 146141 292282 438423 584564 876846 1022987 1169128 1753692 2045974 2338256 3068961 3507384 4091948 4676512 6137922 7014768 8183896 12275844 14029536 16367792 16513933 24551688 32735584 33027866 49103376 49541799 66055732 98206752 99083598 115597531 132111464 198167196 231195062 264222928 346792593 396334392 462390124 528445856 693585186 792668784 924780248 1387170372 1585337568 1849560496 2774340744 3699120992 5548681488 11097362976