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130127586288 = 24374143921517
BaseRepresentation
bin111100100110000110…
…1010110001111110000
3110102212211000022002220
41321030031112033300
54113000130230123
6135440233441040
712254453143020
oct1711415261760
9412784008086
10130127586288
11502066a2647
1221277570180
13c36a45678b
1464263dba80
1535b9166ce3
hex1e4c3563f0

130127586288 has 160 divisors (see below), whose sum is σ = 394471418880. Its totient is φ = 36188190720.

The previous prime is 130127586287. The next prime is 130127586293. The reversal of 130127586288 is 882685721031.

It is a self number, because there is not a number n which added to its sum of digits gives 130127586288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130127586287) by changing a digit.

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, 6036906 + ... + 6058422.

It is an arithmetic number, because the mean of its divisors is an integer number (2465446368).

Almost surely, 2130127586288 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 130127586288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197235709440).

130127586288 is an abundant number, since it is smaller than the sum of its proper divisors (264343832592).

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

130127586288 is a wasteful number, since it uses less digits than its factorization.

130127586288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22015 (or 22009 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 130127586288 in words is "one hundred thirty billion, one hundred twenty-seven million, five hundred eighty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 439 492 574 656 861 878 984 1148 1317 1722 1756 1968 2296 2634 3073 3444 3512 4592 5268 6146 6888 7024 9219 10536 12292 13776 17999 18438 21072 21517 24584 35998 36876 43034 49168 53997 64551 71996 73752 86068 107994 125993 129102 143992 147504 150619 172136 215988 251986 258204 287984 301238 344272 377979 431976 451857 503972 516408 602476 755958 863952 882197 903714 1007944 1032816 1204952 1511916 1764394 1807428 2015888 2409904 2646591 3023832 3528788 3614856 5293182 6047664 6175379 7057576 7229712 9445963 10586364 12350758 14115152 18526137 18891926 21172728 24701516 28337889 37052274 37783852 42345456 49403032 56675778 66121741 74104548 75567704 98806064 113351556 132243482 148209096 151135408 198365223 226703112 264486964 296418192 387284483 396730446 453406224 528973928 774568966 793460892 1057947856 1161853449 1549137932 1586921784 2323706898 2710991381 3098275864 3173843568 4647413796 5421982762 6196551728 8132974143 9294827592 10843965524 16265948286 18589655184 21687931048 32531896572 43375862096 65063793144 130127586288