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44164604052 = 223311334710429
BaseRepresentation
bin101001001000011010…
…100110000010010100
311012222220111100021000
4221020122212002110
51210422114312202
632142224423300
73122303640402
oct511032460224
9135886440230
1044164604052
1117803849778
128686777b30
13421ab1720a
1421cd72c472
15123742391c
hexa486a6094

44164604052 has 96 divisors (see below), whose sum is σ = 115858108800. Its totient is φ = 14547810816.

The previous prime is 44164604051. The next prime is 44164604089. The reversal of 44164604052 is 25040646144.

44164604052 is a `hidden beast` number, since 4 + 4 + 1 + 646 + 0 + 4 + 0 + 5 + 2 = 666.

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 = 44164603998 and 44164604016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44164604051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4229574 + ... + 4240002.

It is an arithmetic number, because the mean of its divisors is an integer number (1206855300).

Almost surely, 244164604052 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 44164604052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57929054400).

44164604052 is an abundant number, since it is smaller than the sum of its proper divisors (71693504748).

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

44164604052 is a wasteful number, since it uses less digits than its factorization.

44164604052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 44164604052 in words is "forty-four billion, one hundred sixty-four million, six hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 347 452 678 694 1017 1041 1356 1388 2034 2082 3051 3123 4068 4164 6102 6246 9369 10429 12204 12492 18738 20858 31287 37476 39211 41716 62574 78422 93861 117633 125148 156844 187722 235266 281583 352899 375444 470532 563166 705798 1058697 1126332 1178477 1411596 2117394 2356954 3535431 3618863 4234788 4713908 7070862 7237726 10606293 10856589 14141724 14475452 21212586 21713178 31818879 32569767 42425172 43426356 63637758 65139534 97709301 127275516 130279068 195418602 390837204 408931519 817863038 1226794557 1635726076 2453589114 3680383671 4907178228 7360767342 11041151013 14721534684 22082302026 44164604052