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10645245402336 = 2532487321723593
BaseRepresentation
bin1001101011101000101000…
…0100100001110011100000
31101200200020110021220002200
42122322022010201303200
52343402430310333321
634350205213213200
72146044050643306
oct232721204416340
941620213256080
1010645245402336
113434694566006
12123b153191200
135c2ac47b993c
1428b338482276
15136d92025d26
hex9ae8a121ce0

10645245402336 has 144 divisors (see below), whose sum is σ = 30345293238624. Its totient is φ = 3539878060032.

The previous prime is 10645245402301. The next prime is 10645245402383. The reversal of 10645245402336 is 63320454254601.

10645245402336 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 52 + 4 + 540 + 23 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106452454023362 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645245402291 and 10645245402300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451191756 + ... + 451215348.

It is an arithmetic number, because the mean of its divisors is an integer number (210731203046).

Almost surely, 210645245402336 is an apocalyptic number.

10645245402336 is a gapful number since it is divisible by the number (16) 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 10645245402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172646619312).

10645245402336 is an abundant number, since it is smaller than the sum of its proper divisors (19700047836288).

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

10645245402336 is a wasteful number, since it uses less digits than its factorization.

10645245402336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27313 (or 27302 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 10645245402336 its reverse (63320454254601), we get a palindrome (73965699656937).

The spelling of 10645245402336 in words is "ten trillion, six hundred forty-five billion, two hundred forty-five million, four hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 487 974 1461 1948 2922 3217 3896 4383 5844 6434 7792 8766 9651 11688 12868 15584 17532 19302 23376 23593 25736 28953 35064 38604 46752 47186 51472 57906 70128 70779 77208 94372 102944 115812 140256 141558 154416 188744 212337 231624 283116 308832 377488 424674 463248 566232 754976 849348 926496 1132464 1566679 1698696 2264928 3133358 3397392 4700037 6266716 6794784 9400074 11489791 12533432 14100111 18800148 22979582 25066864 28200222 34469373 37600296 45959164 50133728 56400444 68938746 75200592 75898681 91918328 103408119 112800888 137877492 150401184 151797362 183836656 206816238 225601776 227696043 275754984 303594724 367673312 413632476 451203552 455392086 551509968 607189448 683088129 827264952 910784172 1103019936 1214378896 1366176258 1654529904 1821568344 2428757792 2732352516 3309059808 3643136688 5464705032 7286273376 10929410064 21858820128 36962657647 73925315294 110887972941 147850630588 221775945882 295701261176 332663918823 443551891764 591402522352 665327837646 887103783528 1182805044704 1330655675292 1774207567056 2661311350584 3548415134112 5322622701168 10645245402336