Search a number
-
+
10412336500 = 2253371972857
BaseRepresentation
bin10011011001001111…
…11010010101110100
3222212122122111110121
421230213322111310
5132311024232000
64441112301324
7516012254116
oct115447722564
928778574417
1010412336500
114463546585
1220270a1844
13c9c25ac77
1470ac193b6
1540e1abb1a
hex26c9fa574

10412336500 has 96 divisors (see below), whose sum is σ = 23481922464. Its totient is φ = 4030387200.

The previous prime is 10412336489. The next prime is 10412336527. The reversal of 10412336500 is 563321401.

It can be written as a sum of positive squares in 16 ways, for example, as 1296288016 + 9116048484 = 36004^2 + 95478^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 3643072 + ... + 3645928.

It is an arithmetic number, because the mean of its divisors is an integer number (244603359).

Almost surely, 210412336500 is an apocalyptic number.

10412336500 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 10412336500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11740961232).

10412336500 is an abundant number, since it is smaller than the sum of its proper divisors (13069585964).

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

10412336500 is a wasteful number, since it uses less digits than its factorization.

10412336500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 10412336500 its reverse (563321401), we get a palindrome (10975657901).

The spelling of 10412336500 in words is "ten billion, four hundred twelve million, three hundred thirty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 197 250 370 394 500 740 788 925 985 1850 1970 2857 3700 3940 4625 4925 5714 7289 9250 9850 11428 14285 14578 18500 19700 24625 28570 29156 36445 49250 57140 71425 72890 98500 105709 142850 145780 182225 211418 285700 357125 364450 422836 528545 562829 714250 728900 911125 1057090 1125658 1428500 1822250 2114180 2251316 2642725 2814145 3644500 5285450 5628290 10570900 11256580 13213625 14070725 20824673 26427250 28141450 41649346 52854500 56282900 70353625 83298692 104123365 140707250 208246730 281414500 416493460 520616825 1041233650 2082467300 2603084125 5206168250 10412336500