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10643505444 = 223211137512753
BaseRepresentation
bin10011110100110011…
…10000000100100100
31000110202122002122100
421322121300010210
5133244214133234
64520051132100
7524520206055
oct117231600444
930422562570
1010643505444
114571a881a0
1220905a4030
131008109320
1472d7d272c
15424621399
hex27a670124

10643505444 has 144 divisors (see below), whose sum is σ = 31661570304. Its totient is φ = 2972160000.

The previous prime is 10643505419. The next prime is 10643505487. The reversal of 10643505444 is 44450534601.

10643505444 is a `hidden beast` number, since 1 + 0 + 64 + 3 + 50 + 544 + 4 = 666.

It is a super-2 number, since 2×106435054442 (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 = 10643505399 and 10643505408.

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, 3864772 + ... + 3867524.

It is an arithmetic number, because the mean of its divisors is an integer number (219872016).

Almost surely, 210643505444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10643505444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15830785152).

10643505444 is an abundant number, since it is smaller than the sum of its proper divisors (21018064860).

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

10643505444 is a wasteful number, since it uses less digits than its factorization.

10643505444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 10643505444 in words is "ten billion, six hundred forty-three million, five hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 751 858 1287 1502 1716 2253 2574 2753 3004 4506 5148 5506 6759 8259 8261 9012 9763 11012 13518 16518 16522 19526 24777 24783 27036 29289 30283 33036 33044 35789 39052 49554 49566 58578 60566 71578 74349 87867 90849 99108 99132 107367 107393 117156 121132 143156 148698 175734 181698 214734 214786 272547 297396 322101 322179 351468 363396 393679 429468 429572 545094 644202 644358 787358 966537 1090188 1181037 1288404 1288716 1574716 1933074 2067503 2362074 3543111 3866148 4135006 4724148 6202509 7086222 8270012 12405018 14172444 18607527 22742533 24810036 26877539 37215054 45485066 53755078 68227599 74430108 80632617 90970132 107510156 136455198 161265234 204682797 241897851 272910396 295652929 322530468 409365594 483795702 591305858 818731188 886958787 967591404 1182611716 1773917574 2660876361 3547835148 5321752722 10643505444