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10614315126 = 2317223614363
BaseRepresentation
bin10011110001010100…
…11001100001110110
31000101201201002001110
421320222121201312
5133214231041001
64513125335450
7524014122102
oct117052314166
930351632043
1010614315126
114557560068
122082867586
131002058a4c
14729994902
15421ca73d6
hex278a99876

10614315126 has 96 divisors (see below), whose sum is σ = 23922540288. Its totient is φ = 3132264960.

The previous prime is 10614315119. The next prime is 10614315137. The reversal of 10614315126 is 62151341601.

It is a happy number.

10614315126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106143151262 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10614315093 and 10614315102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430621 + ... + 2434983.

It is an arithmetic number, because the mean of its divisors is an integer number (249193128).

Almost surely, 210614315126 is an apocalyptic number.

10614315126 is an abundant number, since it is smaller than the sum of its proper divisors (13308225162).

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

10614315126 is a wasteful number, since it uses less digits than its factorization.

10614315126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 10614315126 its reverse (62151341601), we get a palindrome (72765656727).

The spelling of 10614315126 in words is "ten billion, six hundred fourteen million, three hundred fifteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 17 23 34 46 51 61 69 102 122 138 183 289 366 391 578 782 867 1037 1173 1403 1734 2074 2346 2806 3111 4209 4363 6222 6647 8418 8726 13089 13294 17629 19941 23851 26178 35258 39882 47702 52887 71553 74171 100349 105774 143106 148342 200698 222513 266143 301047 405467 445026 532286 602094 798429 810934 1216401 1260907 1596858 1705933 2432802 2521814 3411866 3782721 4524431 5117799 6121289 7565442 9048862 10235598 12242578 13573293 18363867 27146586 29000861 36727734 58001722 76915327 87002583 104061913 153830654 174005166 208123826 230745981 312185739 461491962 624371478 1769052521 3538105042 5307157563 10614315126