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10663453696 = 210724612
BaseRepresentation
bin10011110111001011…
…10110010000000000
31000112011011120111111
421323211312100000
5133314321004241
64522042453104
7525151601200
oct117345662000
930464146444
1010663453696
114582272655
122097204194
13100c2a201c
14732306400
15426261c81
hex27b976400

10663453696 has 99 divisors (see below), whose sum is σ = 24850643457. Its totient is φ = 4560138240.

The previous prime is 10663453681. The next prime is 10663453721. The reversal of 10663453696 is 69635436601.

The square root of 10663453696 is 103264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3418039296 + 7245414400 = 58464^2 + 85120^2 .

It is a super-2 number, since 2×106634536962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23130906 + ... + 23131366.

Almost surely, 210663453696 is an apocalyptic number.

10663453696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10663453696 is the 103264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10663453696

10663453696 is an abundant number, since it is smaller than the sum of its proper divisors (14187189761).

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

10663453696 is an frugal number, since it uses more digits than its factorization.

10663453696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

Multiplying 10663453696 by its sum of digits (49), we get a square (522509231104 = 7228482).

10663453696 divided by its sum of digits (49) gives a square (217621504 = 147522).

The spelling of 10663453696 in words is "ten billion, six hundred sixty-three million, four hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 461 512 784 896 922 1024 1568 1792 1844 3136 3227 3584 3688 6272 6454 7168 7376 12544 12908 14752 22589 25088 25816 29504 45178 50176 51632 59008 90356 103264 118016 180712 206528 212521 236032 361424 413056 425042 472064 722848 826112 850084 1445696 1487647 1652224 1700168 2891392 2975294 3304448 3400336 5782784 5950588 6800672 10413529 11565568 11901176 13601344 20827058 23131136 23802352 27202688 41654116 47604704 54405376 83308232 95209408 108810752 166616464 190418816 217621504 333232928 380837632 666465856 761675264 1332931712 1523350528 2665863424 5331726848 10663453696