Search a number
-
+
1068251640610 = 257311269105253
BaseRepresentation
bin11111000101110001100…
…00100111001100100010
310210010100021221000011011
433202320300213030202
5120000234404444420
62134425324011134
7140115162061000
oct17427060471442
93703307830134
101068251640610
11382052224750
1215304b390aaa
13799744341bb
14399bcb89a70
151cbc361e95a
hexf8b8c27322

1068251640610 has 128 divisors (see below), whose sum is σ = 2455365312000. Its totient is φ = 331720623360.

The previous prime is 1068251640563. The next prime is 1068251640613. The reversal of 1068251640610 is 160461528601.

It is a super-2 number, since 2×10682516406102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068251640613) 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 63 ways as a sum of consecutive naturals, for example, 10096744 + ... + 10201996.

It is an arithmetic number, because the mean of its divisors is an integer number (19182541500).

Almost surely, 21068251640610 is an apocalyptic number.

1068251640610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1068251640610 is an abundant number, since it is smaller than the sum of its proper divisors (1387113671390).

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

1068251640610 is a wasteful number, since it uses less digits than its factorization.

1068251640610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105561 (or 105547 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 1068251640610 in words is "one trillion, sixty-eight billion, two hundred fifty-one million, six hundred forty thousand, six hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 269 343 385 490 538 539 686 770 1078 1345 1715 1883 2690 2695 2959 3430 3766 3773 5390 5918 7546 9415 13181 14795 18830 18865 20713 26362 29590 37730 41426 65905 92267 103565 105253 131810 144991 184534 207130 210506 289982 461335 526265 724955 736771 922670 1014937 1052530 1157783 1449910 1473542 2029874 2315566 3683855 5074685 5157397 5788915 7367710 8104481 10149370 10314794 11577830 16208962 25786985 28313057 36101779 40522405 51573970 56626114 56731367 72203558 81044810 113462734 141565285 180508895 198191399 283130570 283656835 311443627 361017790 396382798 397119569 567313670 622887254 794239138 990956995 1387339793 1557218135 1981913990 1985597845 2180105389 2774679586 3114436270 3971195690 4360210778 6936698965 9711378551 10900526945 13873397930 15260737723 19422757102 21801053890 30521475446 48556892755 76303688615 97113785510 106825164061 152607377230 213650328122 534125820305 1068251640610