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10544341544 = 23116797103179
BaseRepresentation
bin10011101000111110…
…11110001000101000
31000012212001001100022
421310133132020220
5133043322412134
64502145500012
7522204265352
oct116437361050
930185031308
1010544341544
114521007960
122063341608
13cc06c9269
1472057c0d2
1541aa8452e
hex2747de228

10544341544 has 128 divisors (see below), whose sum is σ = 22455014400. Its totient is φ = 4601456640.

The previous prime is 10544341543. The next prime is 10544341597. The reversal of 10544341544 is 44514344501.

10544341544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105443415442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10544341543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58906847 + ... + 58907025.

It is an arithmetic number, because the mean of its divisors is an integer number (175429800).

Almost surely, 210544341544 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 10544341544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227507200).

10544341544 is an abundant number, since it is smaller than the sum of its proper divisors (11910672856).

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

10544341544 is a wasteful number, since it uses less digits than its factorization.

10544341544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 10544341544 in words is "ten billion, five hundred forty-four million, three hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 67 88 97 103 134 179 194 206 268 358 388 412 536 716 737 776 824 1067 1133 1432 1474 1969 2134 2266 2948 3938 4268 4532 5896 6499 6901 7876 8536 9064 9991 11993 12998 13802 15752 17363 18437 19982 23986 25996 27604 34726 36874 39964 47972 51992 55208 69452 71489 73748 75911 79928 95944 109901 131923 138904 142978 147496 151822 190993 202807 219802 263846 285956 303644 381986 405614 439604 527692 571912 607288 669397 763972 811228 879208 1055384 1163321 1235279 1338794 1527944 1622456 1788389 2326642 2470558 2677588 3576778 4653284 4941116 5355176 7153556 7363367 9306568 9882232 12796531 13588069 14307112 14726734 19672279 25593062 27176138 29453468 39344558 51186124 54352276 58906936 78689116 102372248 108704552 119822063 157378232 239644126 479288252 958576504 1318042693 2636085386 5272170772 10544341544