Search a number
-
+
6101061101016 = 2337671094972729
BaseRepresentation
bin101100011001000001110…
…0101000110010111011000
3210121020220102211102002120
41120302003211012113120
51244424433120213031
620550442213101240
71166533660461510
oct130620345062730
923536812742076
106101061101016
111a42499a34442
12826515027820
1335343495085b
14171415b44840
15a8a81422a96
hex58c839465d8

6101061101016 has 128 divisors (see below), whose sum is σ = 17854089792000. Its totient is φ = 1701389048832.

The previous prime is 6101061100987. The next prime is 6101061101071. The reversal of 6101061101016 is 6101011601016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1259461 + ... + 3713268.

It is an arithmetic number, because the mean of its divisors is an integer number (139485076500).

Almost surely, 26101061101016 is an apocalyptic number.

It is an amenable number.

6101061101016 is an abundant number, since it is smaller than the sum of its proper divisors (11753028690984).

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

6101061101016 is a wasteful number, since it uses less digits than its factorization.

6101061101016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972921 (or 4972917 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 6101061101016 in words is "six trillion, one hundred one billion, sixty-one million, one hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 109 134 168 201 218 268 327 402 436 469 536 654 763 804 872 938 1308 1407 1526 1608 1876 2289 2616 2814 3052 3752 4578 5628 6104 7303 9156 11256 14606 18312 21909 29212 43818 51121 58424 87636 102242 153363 175272 204484 306726 408968 613452 1226904 4972729 9945458 14918187 19890916 29836374 34809103 39781832 59672748 69618206 104427309 119345496 139236412 208854618 278472824 333172843 417709236 542027461 666345686 835418472 999518529 1084054922 1332691372 1626082383 1999037058 2168109844 2332209901 2665382744 3252164766 3794192227 3998074116 4336219688 4664419802 6504329532 6996629703 7588384454 7996148232 9328839604 11382576681 13008659064 13993259406 15176768908 18657679208 22765153362 27986518812 30353537816 36315839887 45530306724 55973037624 72631679774 91060613448 108947519661 145263359548 217895039322 254210879209 290526719096 435790078644 508421758418 762632637627 871580157288 1016843516836 1525265275254 2033687033672 3050530550508 6101061101016