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10977860304 = 24327310310139
BaseRepresentation
bin10100011100101010…
…01101101011010000
31001100001210002021200
422032111031223100
5134440313012204
65013153351200
7536020162425
oct121625155320
931301702250
1010977860304
114723796a24
122164568500
13105c475338
14761d89d4c
15443b69539
hex28e54dad0

10977860304 has 120 divisors (see below), whose sum is σ = 31449088320. Its totient is φ = 3573766656.

The previous prime is 10977860251. The next prime is 10977860323. The reversal of 10977860304 is 40306877901.

It is a self number, because there is not a number n which added to its sum of digits gives 10977860304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1077667 + ... + 1087805.

It is an arithmetic number, because the mean of its divisors is an integer number (262075736).

Almost surely, 210977860304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10977860304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724544160).

10977860304 is an abundant number, since it is smaller than the sum of its proper divisors (20471228016).

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

10977860304 is a wasteful number, since it uses less digits than its factorization.

10977860304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10977860304 in words is "ten billion, nine hundred seventy-seven million, eight hundred sixty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 103 144 146 206 219 292 309 412 438 584 618 657 824 876 927 1168 1236 1314 1648 1752 1854 2472 2628 3504 3708 4944 5256 7416 7519 10139 10512 14832 15038 20278 22557 30076 30417 40556 45114 60152 60834 67671 81112 90228 91251 120304 121668 135342 162224 180456 182502 243336 270684 360912 365004 486672 541368 730008 740147 1044317 1082736 1460016 1480294 2088634 2220441 2960588 3132951 4177268 4440882 5921176 6265902 6661323 8354536 8881764 9398853 11842352 12531804 13322646 16709072 17763528 18797706 25063608 26645292 35527056 37595412 50127216 53290584 75190824 76235141 106581168 150381648 152470282 228705423 304940564 457410846 609881128 686116269 914821692 1219762256 1372232538 1829643384 2744465076 3659286768 5488930152 10977860304