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9999890634216 = 233779808793169
BaseRepresentation
bin1001000110000100011111…
…1011011101010111101000
31022101222110120102220011210
42101201013323131113220
52302314234000243331
633133515240553120
72051316416633520
oct221410773352750
938358416386153
109999890634216
113205a2562597a
1211560671827a0
13576ca75b5a42
14267dd67c0680
151251c053d446
hex91847edd5e8

9999890634216 has 128 divisors (see below), whose sum is σ = 28936664064000. Its totient is φ = 2820566541312.

The previous prime is 9999890634199. The next prime is 9999890634241. The reversal of 9999890634216 is 6124360989999.

9999890634216 is a nontrivial binomial coefficient, being equal to C(4472112, 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107284080 + ... + 107377248.

It is an arithmetic number, because the mean of its divisors is an integer number (226067688000).

Almost surely, 29999890634216 is an apocalyptic number.

9999890634216 is the 4472111-st triangular number and also the 2236056-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999890634216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14468332032000).

9999890634216 is an abundant number, since it is smaller than the sum of its proper divisors (18936773429784).

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

9999890634216 is a wasteful number, since it uses less digits than its factorization.

9999890634216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101351 (or 101347 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 75.

The spelling of 9999890634216 in words is "nine trillion, nine hundred ninety-nine billion, eight hundred ninety million, six hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 6636 8087 13272 16174 24261 32348 48522 56609 64696 93169 97044 113218 169827 186338 194088 226436 279507 339654 372676 452872 559014 638873 652183 679308 745352 1118028 1277746 1304366 1358616 1916619 1956549 2236056 2555492 2608732 3833238 3913098 4472111 5110984 5217464 7360351 7666476 7826196 8944222 13416333 14720702 15332952 15652392 17888444 22081053 26832666 29441404 35776888 44162106 51522457 53665332 58882808 88324212 103044914 107330664 154567371 176648424 206089828 309134742 412179656 618269484 753457703 1236538968 1506915406 2260373109 3013830812 4520746218 5274203921 6027661624 9041492436 10548407842 15822611763 18082984872 21096815684 31645223526 42193631368 59523158537 63290447052 119046317074 126580894104 178569475611 238092634148 357138951222 416662109759 476185268296 714277902444 833324219518 1249986329277 1428555804888 1666648439036 2499972658554 3333296878072 4999945317108 9999890634216