Search a number
-
+
16838955224 = 23713233132441
BaseRepresentation
bin11111010111010111…
…00001000011011000
31121110112110120000022
433223223201003120
5233441233031344
611422525130012
71134166520630
oct175353410330
947415416008
1016838955224
117161173323
12331b3b9908
131784828240
14b5a55b6c0
156884b50ee
hex3ebae10d8

16838955224 has 128 divisors (see below), whose sum is σ = 41857966080. Its totient is φ = 6166195200.

The previous prime is 16838955223. The next prime is 16838955253. The reversal of 16838955224 is 42255983861.

It is a happy number.

It is a Cunningham number, because it is equal to 1297652-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16838955223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502844 + ... + 535284.

It is an arithmetic number, because the mean of its divisors is an integer number (327015360).

Almost surely, 216838955224 is an apocalyptic number.

16838955224 is a gapful number since it is divisible by the number (14) 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 16838955224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20928983040).

16838955224 is an abundant number, since it is smaller than the sum of its proper divisors (25019010856).

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

16838955224 is a wasteful number, since it uses less digits than its factorization.

16838955224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32521 (or 32517 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 53.

The spelling of 16838955224 in words is "sixteen billion, eight hundred thirty-eight million, nine hundred fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 31 46 52 56 62 91 92 104 124 161 182 184 217 248 299 322 364 403 434 598 644 713 728 806 868 1196 1288 1426 1612 1736 2093 2392 2821 2852 3224 4186 4991 5642 5704 8372 9269 9982 11284 16744 18538 19964 22568 32441 37076 39928 64882 64883 74152 129764 129766 227087 259528 259532 421733 454174 519064 746143 843466 908348 1005671 1492286 1686932 1816696 2011342 2952131 2984572 3373864 4022684 5223001 5904262 5969144 7039697 8045368 9699859 10446002 11808524 13073723 14079394 19399718 20892004 23130433 23617048 26147446 28158788 38799436 41784008 46260866 52294892 56317576 67899013 77598872 91516061 92521732 104589784 135798026 161913031 183032122 185043464 271596052 300695629 323826062 366064244 543192104 601391258 647652124 732128488 1202782516 1295304248 2104869403 2405565032 4209738806 8419477612 16838955224