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10645803648 = 273317181199
BaseRepresentation
bin10011110101000101…
…00001001010000000
31000110220221212012000
421322202201022000
5133300311204043
64520212304000
7524545560264
oct117242411200
930426855160
1010645803648
114573307937
122091312000
1310087323cc
1472dc300a4
154249272d3
hex27a8a1280

10645803648 has 128 divisors (see below), whose sum is σ = 33268320000. Its totient is φ = 3339841536.

The previous prime is 10645803629. The next prime is 10645803653. The reversal of 10645803648 is 84630854601.

10645803648 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 580 + 3 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106458036482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31848 + ... + 149351.

It is an arithmetic number, because the mean of its divisors is an integer number (259908750).

Almost surely, 210645803648 is an apocalyptic number.

10645803648 is a gapful number since it is divisible by the number (18) 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 10645803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634160000).

10645803648 is an abundant number, since it is smaller than the sum of its proper divisors (22622516352).

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

10645803648 is a wasteful number, since it uses less digits than its factorization.

10645803648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181239 (or 181221 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10645803648 in words is "ten billion, six hundred forty-five million, eight hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 181199 362398 543597 724796 1087194 1449592 1630791 2174388 2899184 3080383 3261582 4348776 4892373 5798368 6160766 6523164 8697552 9241149 9784746 11596736 12321532 13046328 17395104 18482298 19569492 23193472 24643064 26092656 27723447 34790208 36964596 39138984 49286128 52185312 55446894 69580416 73929192 78277968 83170341 98572256 104370624 110893788 147858384 156555936 166340682 197144512 208741248 221787576 295716768 313111872 332681364 394289024 443575152 591433536 626223744 665362728 887150304 1182867072 1330725456 1774300608 2661450912 3548601216 5322901824 10645803648