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10978469401872 = 2437431913978329
BaseRepresentation
bin1001111111000001111111…
…0001001101010100010000
31102212112100102000222011010
42133300133301031110100
52414332401131324442
635203234512050520
72212111464132240
oct237603761152420
942775312028133
1010978469401872
113552a40850965
12129384b233a40
1361835a902b6b
1429d509ca3b20
1514089639cb9c
hex9fc1fc4d510

10978469401872 has 160 divisors (see below), whose sum is σ = 33340060385280. Its totient is φ = 3047717514240.

The previous prime is 10978469401859. The next prime is 10978469401909. The reversal of 10978469401872 is 27810496487901.

10978469401872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770404 + ... + 4748732.

It is an arithmetic number, because the mean of its divisors is an integer number (208375377408).

Almost surely, 210978469401872 is an apocalyptic number.

10978469401872 is a gapful number since it is divisible by the number (12) 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 10978469401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16670030192640).

10978469401872 is an abundant number, since it is smaller than the sum of its proper divisors (22361590983408).

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

10978469401872 is a wasteful number, since it uses less digits than its factorization.

10978469401872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978581 (or 3978575 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 10978469401872 in words is "ten trillion, nine hundred seventy-eight billion, four hundred sixty-nine million, four hundred one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 191 258 301 336 344 382 516 573 602 688 764 903 1032 1146 1204 1337 1528 1806 2064 2292 2408 2674 3056 3612 4011 4584 4816 5348 7224 8022 8213 9168 10696 14448 16044 16426 21392 24639 32088 32852 49278 57491 64176 65704 98556 114982 131408 172473 197112 229964 344946 394224 459928 689892 919856 1379784 2759568 3978329 7956658 11934987 15913316 23869974 27848303 31826632 47739948 55696606 63653264 83544909 95479896 111393212 167089818 171068147 190959792 222786424 334179636 342136294 445572848 513204441 668359272 684272588 759860839 1026408882 1197477029 1336718544 1368545176 1519721678 2052817764 2279582517 2394954058 2737090352 3039443356 3592431087 4105635528 4559165034 4789908116 5319025873 6078886712 7184862174 8211271056 9118330068 9579816232 10638051746 12157773424 14369724348 15957077619 18236660136 19159632464 21276103492 28739448696 31914155238 32674016077 36473320272 42552206984 57478897392 63828310476 65348032154 85104413968 98022048231 127656620952 130696064308 196044096462 228718112539 255313241904 261392128616 392088192924 457436225078 522784257232 686154337617 784176385848 914872450156 1372308675234 1568352771696 1829744900312 2744617350468 3659489800624 5489234700936 10978469401872