Search a number
-
+
10246092284080 = 2451731738342589
BaseRepresentation
bin1001010100011001101010…
…1100001110000010110000
31100021111221210021120110101
42111012122230032002300
52320332444111042310
633442553444442144
72105153501265262
oct225063254160260
940244853246411
1010246092284080
1132a0385a85484
1211959176a9354
13594282767473
14275cb096db32
1512b7ceb6543a
hex9519ab0e0b0

10246092284080 has 80 divisors (see below), whose sum is σ = 23961805899840. Its totient is φ = 4074416446464.

The previous prime is 10246092284041. The next prime is 10246092284081. The reversal of 10246092284080 is 8048229064201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102460922840802 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10246092284080.

It is not an unprimeable number, because it can be changed into a prime (10246092284081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240559426 + ... + 240602014.

It is an arithmetic number, because the mean of its divisors is an integer number (299522573748).

Almost surely, 210246092284080 is an apocalyptic number.

10246092284080 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 10246092284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980902949920).

10246092284080 is an abundant number, since it is smaller than the sum of its proper divisors (13715713615760).

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

10246092284080 is a wasteful number, since it uses less digits than its factorization.

10246092284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60158 (or 60152 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 10246092284080 in words is "ten trillion, two hundred forty-six billion, ninety-two million, two hundred eighty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 17383 34766 42589 69532 85178 86915 139064 170356 173830 212945 278128 340712 347660 425890 681424 695320 851780 1390640 1703560 3007259 3407120 6014518 7367897 12029036 14735794 15036295 24058072 29471588 30072590 36839485 48116144 58943176 60145180 73678970 117886352 120290360 147357940 240580720 294715880 589431760 740324587 1480649174 2961298348 3701622935 5922596696 7403245870 11845193392 14806491740 29612983480 59225966960 128076153551 256152307102 512304614204 640380767755 1024609228408 1280761535510 2049218456816 2561523071020 5123046142040 10246092284080