Search a number
-
+
28738610710830 = 2335337315843617
BaseRepresentation
bin1101000100011001110101…
…01011101100100100101110
310202202101101012012122022000
412202030322223230210232
512231323133320221310
6141042200245033130
76024203364342546
oct642147253544456
9122671335178260
1028738610710830
11917aa81594439
12328189a6b57a6
131306068628b87
14714d55a88326
1534c85590e4c0
hex1a233aaec92e

28738610710830 has 64 divisors (see below), whose sum is σ = 76863702876480. Its totient is φ = 7640888758272.

The previous prime is 28738610710813. The next prime is 28738610710841. The reversal of 28738610710830 is 3801701683782.

28738610710830 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 8 + 610 + 7 + 10 + 8 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157830819 + ... + 158012798.

It is an arithmetic number, because the mean of its divisors is an integer number (1200995357445).

Almost surely, 228738610710830 is an apocalyptic number.

28738610710830 is an abundant number, since it is smaller than the sum of its proper divisors (48125092165650).

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

28738610710830 is a wasteful number, since it uses less digits than its factorization.

28738610710830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315843970 (or 315843964 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 28738610710830 in words is "twenty-eight trillion, seven hundred thirty-eight billion, six hundred ten million, seven hundred ten thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 337 674 1011 1685 2022 3033 3370 5055 6066 9099 10110 15165 18198 30330 45495 90990 315843617 631687234 947530851 1579218085 1895061702 2842592553 3158436170 4737654255 5685185106 8527777659 9475308510 14212962765 17055555318 28425925530 42638888295 85277776590 106439298929 212878597858 319317896787 532196494645 638635793574 957953690361 1064392989290 1596589483935 1915907380722 2873861071083 3193178967870 4789768451805 5747722142166 9579536903610 14369305355415 28738610710830