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10445100534 = 232111071134363
BaseRepresentation
bin10011011101001001…
…11001010111110110
3222221221022002021100
421232210321113312
5132342421204114
64444242430530
7516560614101
oct115644712766
928857262240
1010445100534
11447aa946a0
122036062446
13ca5c9007b
14711307738
15411ece909
hex26e9395f6

10445100534 has 96 divisors (see below), whose sum is σ = 25145437824. Its totient is φ = 3107139840.

The previous prime is 10445100517. The next prime is 10445100539. The reversal of 10445100534 is 43500154401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10445100498 and 10445100507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10445100539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2391837 + ... + 2396199.

It is an arithmetic number, because the mean of its divisors is an integer number (261931644).

Almost surely, 210445100534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10445100534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572718912).

10445100534 is an abundant number, since it is smaller than the sum of its proper divisors (14700337290).

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

10445100534 is a wasteful number, since it uses less digits than its factorization.

10445100534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10445100534 its reverse (43500154401), we get a palindrome (53945254935).

The spelling of 10445100534 in words is "ten billion, four hundred forty-five million, one hundred thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 113 198 214 226 321 339 642 678 963 1017 1177 1243 1926 2034 2354 2486 3531 3729 4363 7062 7458 8726 10593 11187 12091 13089 21186 22374 24182 26178 36273 39267 47993 72546 78534 95986 108819 133001 143979 217638 266002 287958 399003 431937 466841 493019 798006 863874 933682 986038 1197009 1400523 1479057 2394018 2801046 2958114 4201569 4437171 5135251 5423209 8403138 8874342 10270502 10846418 15405753 16269627 30811506 32539254 46217259 48808881 52753033 92434518 97617762 105506066 158259099 316518198 474777297 580283363 949554594 1160566726 1740850089 3481700178 5222550267 10445100534