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6048168138 = 23229311632293
BaseRepresentation
bin1011010000111111…
…11011100011001010
3120121111200202221100
411220133323203022
544341312340023
62440053122230
7302610403155
oct55037734312
916544622840
106048168138
112624040271
121209629376
1375506241c
1441538ac9c
15255e9ec43
hex1687fb8ca

6048168138 has 96 divisors (see below), whose sum is σ = 14085527040. Its totient is φ = 1871372160.

The previous prime is 6048168127. The next prime is 6048168197. The reversal of 6048168138 is 8318618406.

It is a happy number.

6048168138 is a `hidden beast` number, since 60 + 481 + 6 + 81 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6048168093 and 6048168102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2636520 + ... + 2638812.

It is an arithmetic number, because the mean of its divisors is an integer number (146724240).

Almost surely, 26048168138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6048168138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042763520).

6048168138 is an abundant number, since it is smaller than the sum of its proper divisors (8037358902).

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

6048168138 is a wasteful number, since it uses less digits than its factorization.

6048168138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6048168138 is about 77769.9693840752. The cubic root of 6048168138 is about 1821.9702667651.

The spelling of 6048168138 in words is "six billion, forty-eight million, one hundred sixty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 163 174 186 261 279 326 489 522 558 899 978 1467 1798 2293 2697 2934 4586 4727 5053 5394 6879 8091 9454 10106 13758 14181 15159 16182 20637 28362 30318 41274 42543 45477 66497 71083 85086 90954 132994 142166 146537 199491 213249 293074 373759 398982 426498 439611 598473 639747 747518 879222 1121277 1196946 1279494 1318833 2061407 2242554 2637666 3363831 4122814 6184221 6727662 10839011 11586529 12368442 18552663 21678022 23173058 32517033 34759587 37105326 65034066 69519174 97551099 104278761 195102198 208557522 336009341 672018682 1008028023 2016056046 3024084069 6048168138