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4239675561 = 311319294147
BaseRepresentation
bin1111110010110100…
…0101000010101001
3101221110200211111210
43330231011002221
532140324104221
61540410543333
7210030435102
oct37455050251
911843624453
104239675561
111886206000
129a3a37b49
1352748a984
142c31033a9
1519c31a276
hexfcb450a9

4239675561 has 128 divisors (see below), whose sum is σ = 7083417600. Its totient is φ = 2244211200.

The previous prime is 4239675551. The next prime is 4239675563. The reversal of 4239675561 is 1655769324.

4239675561 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4239675561 - 25 = 4239675529 is a prime.

Its product of digits (1360800) is a multiple of the sum of its prime divisors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 4239675561.

It is not an unprimeable number, because it can be changed into a prime (4239675563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90205840 + ... + 90205886.

It is an arithmetic number, because the mean of its divisors is an integer number (55339200).

Almost surely, 24239675561 is an apocalyptic number.

4239675561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4239675561 is a deficient number, since it is larger than the sum of its proper divisors (2843742039).

4239675561 is a wasteful number, since it uses less digits than its factorization.

4239675561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 4239675561 is about 65112.7910705723. The cubic root of 4239675561 is about 1618.4931831792.

The spelling of 4239675561 in words is "four billion, two hundred thirty-nine million, six hundred seventy-five thousand, five hundred sixty-one".

Divisors: 1 3 11 19 29 33 41 47 57 87 121 123 141 209 319 363 451 517 551 627 779 893 957 1189 1331 1353 1363 1551 1653 1927 2299 2337 2679 3509 3567 3993 4089 4961 5687 5781 6061 6897 8569 9823 10527 13079 14883 14993 17061 18183 21197 22591 25289 25707 25897 29469 36613 38599 39237 44979 54571 55883 62557 63591 66671 67773 75867 77691 94259 108053 109839 115797 143869 163713 164923 167649 187671 200013 233167 248501 282777 284867 324159 402743 431607 494769 614713 699501 733381 745503 854601 1036849 1061777 1188583 1208229 1582559 1814153 1844139 2200143 2564837 2733511 3110547 3133537 3185331 3565749 4430173 4747677 5442459 6761843 7694511 8200533 9400611 11679547 13290519 20285529 30068621 34468907 35038641 48731903 74380273 90205863 103406721 128475017 146195709 223140819 385425051 1413225187 4239675561