Search a number
-
+
6025980472785 = 3357131493292049
BaseRepresentation
bin101011110110000100001…
…1011001110110111010001
3210100002002221101022112000
41113230020123032313101
51242212202000112120
620452144110424213
71161235261613610
oct127541033166721
923302087338460
106025980472785
111a13670975169
12813a60802069
1334932aa57310
1416b93247d877
15a6b39c80990
hex57b086cedd1

6025980472785 has 128 divisors (see below), whose sum is σ = 13273545600000. Its totient is φ = 2525764571136.

The previous prime is 6025980472783. The next prime is 6025980472823. The reversal of 6025980472785 is 5872740895206.

6025980472785 is a `hidden beast` number, since 6 + 0 + 2 + 5 + 9 + 80 + 472 + 7 + 85 = 666.

It is not a de Polignac number, because 6025980472785 - 21 = 6025980472783 is a prime.

It is a super-2 number, since 2×60259804727852 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6025980472783) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 184441 + ... + 3476489.

It is an arithmetic number, because the mean of its divisors is an integer number (103699575000).

Almost surely, 26025980472785 is an apocalyptic number.

6025980472785 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6025980472785 is an abundant number, since it is smaller than the sum of its proper divisors (7247565127215).

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

6025980472785 is a wasteful number, since it uses less digits than its factorization.

6025980472785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292232 (or 3292226 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 6025980472785 in words is "six trillion, twenty-five billion, nine hundred eighty million, four hundred seventy-two thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 149 189 195 273 315 351 447 455 585 745 819 945 1043 1341 1365 1755 1937 2235 2457 3129 4023 4095 5215 5811 6705 9387 9685 12285 13559 15645 17433 20115 28161 29055 40677 46935 52299 67795 87165 122031 140805 203385 261495 366093 610155 1830465 3292049 9876147 16460245 23044343 29628441 42796637 49380735 69133029 88885323 115221715 128389911 148142205 207399087 213983185 299576459 345665145 385169733 444426615 490515301 622197261 641949555 898729377 1036995435 1155509199 1471545903 1497882295 1925848665 2452576505 2696188131 3110986305 3433607107 4414637709 4493646885 5777545995 6376698913 7357729515 8088564393 10300821321 13243913127 13480940655 17168035535 19130096739 22073188545 30902463963 31883494565 40442821965 44636892391 51504106605 57390290217 66219565635 92707391889 95650483695 133910677173 154512319815 172170870651 223184461955 286951451085 401732031519 463536959445 669553385865 860854353255 1205196094557 2008660157595 6025980472785