Search a number
-
+
12034689468606 = 2337171998569049
BaseRepresentation
bin1010111100100000101101…
…1001000000100010111110
31120121111122012102200202000
42233020023121000202332
53034134021000443411
641332354321443130
72351322552434340
oct257101331004276
946544565380660
1012034689468606
11391a979509022
1214244a11a04a6
13693b3549907c
142d86a6b73290
1515d0b35b1956
hexaf20b6408be

12034689468606 has 128 divisors (see below), whose sum is σ = 34065463680000. Its totient is φ = 3065891668992.

The previous prime is 12034689468533. The next prime is 12034689468649. The reversal of 12034689468606 is 60686498643021.

12034689468606 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 468 + 94 + 6 + 86 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49162431 + ... + 49406618.

It is an arithmetic number, because the mean of its divisors is an integer number (266136435000).

Almost surely, 212034689468606 is an apocalyptic number.

12034689468606 is an abundant number, since it is smaller than the sum of its proper divisors (22030774211394).

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

12034689468606 is a wasteful number, since it uses less digits than its factorization.

12034689468606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98569103 (or 98569097 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 12034689468606 in words is "twelve trillion, thirty-four billion, six hundred eighty-nine million, four hundred sixty-eight thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 27 34 38 42 51 54 57 63 102 114 119 126 133 153 171 189 238 266 306 323 342 357 378 399 459 513 646 714 798 918 969 1026 1071 1197 1938 2142 2261 2394 2907 3213 3591 4522 5814 6426 6783 7182 8721 13566 17442 20349 40698 61047 122094 98569049 197138098 295707147 591414294 689983343 887121441 1379966686 1675673833 1774242882 1872811931 2069950029 2661364323 3351347666 3745623862 4139900058 5027021499 5322728646 5618435793 6209850087 10054042998 11236871586 11729716831 12419700174 13109683517 15081064497 16855307379 18629550261 23459433662 26219367034 30162128994 31837802827 33710614758 35189150493 37259100522 39329050551 45243193491 50565922137 63675605654 70378300986 78658101102 90486386982 95513408481 101131844274 105567451479 117987151653 191026816962 211134902958 222864619789 235974303306 286540225443 316702354437 353961454959 445729239578 573080450886 633404708874 668593859367 707922909918 859620676329 1337187718734 1719241352658 2005781578101 4011563156202 6017344734303 12034689468606