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10612465344 = 263313472421
BaseRepresentation
bin10011110001000110…
…10101111011000000
31000101121020002122000
421320203111323000
5133213242342334
64513021544000
7523662316125
oct117043257300
930347202560
1010612465344
114556507318
122082115000
13100185bac0
1472963274c
15421a3e299
hex2788d5ec0

10612465344 has 112 divisors (see below), whose sum is σ = 33598652640. Its totient is φ = 3265367040.

The previous prime is 10612465343. The next prime is 10612465361. The reversal of 10612465344 is 44356421601.

10612465344 is a `hidden beast` number, since 1 + 0 + 612 + 4 + 6 + 5 + 34 + 4 = 666.

It is a super-2 number, since 2×106124653442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10612465299 and 10612465308.

It is not an unprimeable number, because it can be changed into a prime (10612465343) 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, 213747 + ... + 258674.

It is an arithmetic number, because the mean of its divisors is an integer number (299987970).

Almost surely, 210612465344 is an apocalyptic number.

It is an amenable number.

10612465344 is an abundant number, since it is smaller than the sum of its proper divisors (22986187296).

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

10612465344 is a wasteful number, since it uses less digits than its factorization.

10612465344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472455 (or 472439 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10612465344 its reverse (44356421601), we get a palindrome (54968886945).

The spelling of 10612465344 in words is "ten billion, six hundred twelve million, four hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 472421 944842 1417263 1889684 2834526 3779368 4251789 5669052 6141473 7558736 8503578 11338104 12282946 12755367 15117472 17007156 18424419 22676208 24565892 25510734 30234944 34014312 36848838 45352416 49131784 51021468 55273257 68028624 73697676 90704832 98263568 102042936 110546514 136057248 147395352 165819771 196527136 204085872 221093028 272114496 294790704 331639542 393054272 408171744 442186056 589581408 663279084 816343488 884372112 1179162816 1326558168 1768744224 2653116336 3537488448 5306232672 10612465344