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216689690112 = 2937179112589
BaseRepresentation
bin1100100111001110110…
…1100100011000000000
3202201022110212210021020
43021303231210120000
512022240030040422
6243313524025440
721440525655450
oct3116355443000
9681273783236
10216689690112
1183996754425
1235bb4b32280
1317583c44b5c
14a6b88a5d60
1559837a295c
hex3273b64600

216689690112 has 160 divisors (see below), whose sum is σ = 663434323200. Its totient is φ = 61564919808.

The previous prime is 216689690083. The next prime is 216689690143. The reversal of 216689690112 is 211096986612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1868314 + ... + 1980902.

It is an arithmetic number, because the mean of its divisors is an integer number (4146464520).

Almost surely, 2216689690112 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 216689690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331717161600).

216689690112 is an abundant number, since it is smaller than the sum of its proper divisors (446744633088).

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

216689690112 is a wasteful number, since it uses less digits than its factorization.

216689690112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112796 (or 112780 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 216689690112 in words is "two hundred sixteen billion, six hundred eighty-nine million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 179 192 224 256 336 358 384 448 512 537 672 716 768 896 1074 1253 1344 1432 1536 1792 2148 2506 2688 2864 3584 3759 4296 5012 5376 5728 7518 8592 10024 10752 11456 15036 17184 20048 22912 30072 34368 40096 45824 60144 68736 80192 91648 112589 120288 137472 160384 225178 240576 274944 320768 337767 450356 481152 641536 675534 788123 900712 962304 1351068 1576246 1801424 1924608 2364369 2702136 3152492 3602848 4728738 5404272 6304984 7205696 9457476 10808544 12609968 14411392 18914952 20153431 21617088 25219936 28822784 37829904 40306862 43234176 50439872 57645568 60460293 75659808 80613724 86468352 100879744 120920586 141074017 151319616 161227448 172936704 201759488 241841172 282148034 302639232 322454896 403518976 423222051 483682344 564296068 605278464 644909792 846444102 967364688 1128592136 1210556928 1289819584 1692888204 1934729376 2257184272 2579639168 3385776408 3869458752 4514368544 5159278336 6771552816 7738917504 9028737088 10318556672 13543105632 15477835008 18057474176 27086211264 30955670016 36114948352 54172422528 72229896704 108344845056 216689690112