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10536797466 = 2331329711903
BaseRepresentation
bin10011101000000101…
…01100010100011010
31000012022211202211000
421310002230110122
5133034410004331
64501320045430
7522053205066
oct116402542432
930168752730
1010536797466
114517824988
122060903876
13cbbc87500
1471d576aa6
1541a0940e6
hex2740ac51a

10536797466 has 96 divisors (see below), whose sum is σ = 25618360320. Its totient is φ = 3208398336.

The previous prime is 10536797449. The next prime is 10536797497. The reversal of 10536797466 is 66479763501.

It is a happy number.

10536797466 is a `hidden beast` number, since 10 + 536 + 7 + 97 + 4 + 6 + 6 = 666.

It is a super-2 number, since 2×105367974662 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

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, 879271 + ... + 891173.

It is an arithmetic number, because the mean of its divisors is an integer number (266857920).

Almost surely, 210536797466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536797466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809180160).

10536797466 is an abundant number, since it is smaller than the sum of its proper divisors (15081562854).

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

10536797466 is a wasteful number, since it uses less digits than its factorization.

10536797466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12037 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 10536797466 in words is "ten billion, five hundred thirty-six million, seven hundred ninety-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 169 194 234 291 338 351 507 582 702 873 1014 1261 1521 1746 2522 2619 3042 3783 4563 5238 7566 9126 11349 11903 16393 22698 23806 32786 34047 35709 49179 68094 71418 98358 107127 147537 154739 214254 295074 309478 321381 442611 464217 642762 885222 928434 1154591 1392651 2011607 2309182 2785302 3463773 4023214 4177953 6034821 6927546 8355906 10391319 12069642 15009683 18104463 20782638 30019366 31173957 36208926 45029049 54313389 62347914 90058098 108626778 135087147 195125879 270174294 390251758 405261441 585377637 810522882 1170755274 1756132911 3512265822 5268398733 10536797466