Search a number
-
+
5061278628 = 2233727724169
BaseRepresentation
bin1001011011010110…
…01111101110100100
3111001201200121001000
410231223033232210
540331141404003
62154120433300
7236265105240
oct45553175644
914051617030
105061278628
112167a615aa
12b93018830
13628765833
14360293420
151e950d1a3
hex12dacfba4

5061278628 has 96 divisors (see below), whose sum is σ = 15051142400. Its totient is φ = 1440799488.

The previous prime is 5061278617. The next prime is 5061278687. The reversal of 5061278628 is 8268721605.

5061278628 is a `hidden beast` number, since 5 + 0 + 6 + 12 + 7 + 8 + 628 = 666.

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 31 ways as a sum of consecutive naturals, for example, 197328 + ... + 221496.

Almost surely, 25061278628 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 5061278628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525571200).

5061278628 is an abundant number, since it is smaller than the sum of its proper divisors (9989863772).

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

5061278628 is a wasteful number, since it uses less digits than its factorization.

5061278628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24466 (or 24458 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5061278628 is about 71142.6639085155. The cubic root of 5061278628 is about 1716.9332666077.

The spelling of 5061278628 in words is "five billion, sixty-one million, two hundred seventy-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 277 378 554 756 831 1108 1662 1939 2493 3324 3878 4986 5817 7479 7756 9972 11634 14958 17451 23268 24169 29916 34902 48338 52353 69804 72507 96676 104706 145014 169183 209412 217521 290028 338366 435042 507549 652563 676732 870084 1015098 1305126 1522647 2030196 2610252 3045294 4567941 6090588 6694813 9135882 13389626 18271764 20084439 26779252 40168878 46863691 60253317 80337756 93727382 120506634 140591073 180759951 187454764 241013268 281182146 361519902 421773219 562364292 723039804 843546438 1265319657 1687092876 2530639314 5061278628