Search a number
-
+
10264856387160 = 2335834657221303
BaseRepresentation
bin1001010101011111100100…
…0111100101111001011000
31100100022101111020202212010
42111113321013211321120
52321134411213342120
633455335424345520
72106416465445204
oct225277107457130
940308344222763
1010264856387160
1132a833490a891
1211994937752a0
13595c8308c83b
14276b70a5db04
1512c02c1547e0
hex955f91e5e58

10264856387160 has 128 divisors (see below), whose sum is σ = 31172421127680. Its totient is φ = 2703722661888.

The previous prime is 10264856387143. The next prime is 10264856387167. The reversal of 10264856387160 is 6178365846201.

It is a self number, because there is not a number n which added to its sum of digits gives 10264856387160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264856387167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46273069 + ... + 46494371.

It is an arithmetic number, because the mean of its divisors is an integer number (243534540060).

Almost surely, 210264856387160 is an apocalyptic number.

10264856387160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10264856387160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15586210563840).

10264856387160 is an abundant number, since it is smaller than the sum of its proper divisors (20907564740520).

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

10264856387160 is a wasteful number, since it uses less digits than its factorization.

10264856387160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226057 (or 226053 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 10264856387160 in words is "ten trillion, two hundred sixty-four billion, eight hundred fifty-six million, three hundred eighty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4657 4980 9314 9960 13971 18628 23285 27942 37256 46570 55884 69855 93140 111768 139710 186280 221303 279420 386531 442606 558840 663909 773062 885212 1106515 1159593 1327818 1546124 1770424 1932655 2213030 2319186 2655636 3092248 3319545 3865310 4426060 4638372 5311272 5797965 6639090 7730620 8852120 9276744 11595930 13278180 15461240 18368149 23191860 26556360 36736298 46383720 55104447 73472596 91840745 110208894 146945192 183681490 220417788 275522235 367362980 440835576 551044470 734725960 1030608071 1102088940 2061216142 2204177880 3091824213 4122432284 5153040355 6183648426 8244864568 10306080710 12367296852 15459121065 20612161420 24734593704 30918242130 41224322840 61836484260 85540469893 123672968520 171080939786 256621409679 342161879572 427702349465 513242819358 684323759144 855404698930 1026485638716 1283107048395 1710809397860 2052971277432 2566214096790 3421618795720 5132428193580 10264856387160