Search a number
-
+
126895713450 = 235211564713619
BaseRepresentation
bin111011000101110010…
…0101110110010101010
3110010112120200011000220
41312023210232302222
54034340300312300
6134143423310510
712111410524152
oct1661344566252
9403476604026
10126895713450
11498a835a760
122071514b436
13bc73a0869c
1461db0b7762
15347a56eda0
hex1d8b92ecaa

126895713450 has 96 divisors (see below), whose sum is σ = 343396592640. Its totient is φ = 30754891200.

The previous prime is 126895713443. The next prime is 126895713463. The reversal of 126895713450 is 54317598621.

It is a super-2 number, since 2×1268957134502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126895713393 and 126895713402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9310741 + ... + 9324359.

It is an arithmetic number, because the mean of its divisors is an integer number (3577047840).

It is a 1-persistent number, because it is pandigital, but 2⋅126895713450 = 253791426900 is not.

Almost surely, 2126895713450 is an apocalyptic number.

126895713450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126895713450 is an abundant number, since it is smaller than the sum of its proper divisors (216500879190).

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

126895713450 is a wasteful number, since it uses less digits than its factorization.

126895713450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19292 (or 19287 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 126895713450 in words is "one hundred twenty-six billion, eight hundred ninety-five million, seven hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 5647 11294 13619 16941 27238 28235 33882 40857 56470 62117 68095 81714 84705 124234 136190 141175 149809 169410 186351 204285 282350 299618 310585 340475 372702 408570 423525 449427 621170 680950 749045 847050 898854 931755 1021425 1498090 1552925 1863510 2042850 2247135 3105850 3745225 4494270 4658775 7490450 9317550 11235675 22471350 76906493 153812986 230719479 384532465 461438958 769064930 845971423 1153597395 1691942846 1922662325 2307194790 2537914269 3845324650 4229857115 5075828538 5767986975 8459714230 11535973950 12689571345 21149285575 25379142690 42298571150 63447856725 126895713450