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45486652176 = 24327225392
BaseRepresentation
bin101010010111001101…
…110011101100010000
311100102001011100100100
4222113031303230100
51221124040332201
632521332452400
73200126110200
oct522715635420
9140361140310
1045486652176
1118322036029
12899547a100
13439b9a1904
1422b714c400
1512b351b886
hexa97373b10

45486652176 has 135 divisors (see below), whose sum is σ = 148141380231. Its totient is φ = 12991067712.

The previous prime is 45486652171. The next prime is 45486652177. The reversal of 45486652176 is 67125668454.

The square root of 45486652176 is 213276.

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

45486652176 is a `hidden beast` number, since 4 + 5 + 48 + 6 + 6 + 521 + 76 = 666.

45486652176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45486652171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17913915 + ... + 17916453.

Almost surely, 245486652176 is an apocalyptic number.

45486652176 is the 213276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45486652176

45486652176 is an abundant number, since it is smaller than the sum of its proper divisors (102654728055).

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

45486652176 is an equidigital number, since it uses as much as digits as its factorization.

45486652176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 2551 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 45486652176 in words is "forty-five billion, four hundred eighty-six million, six hundred fifty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 2539 3528 5078 7056 7617 10156 15234 17773 20312 22851 30468 35546 40624 45702 53319 60936 71092 91404 106638 121872 124411 142184 159957 182808 213276 248822 284368 319914 365616 373233 426552 497644 639828 746466 853104 995288 1119699 1279656 1492932 1990576 2239398 2559312 2985864 4478796 5971728 6446521 8957592 12893042 17915184 19339563 25786084 38679126 45125647 51572168 58018689 77358252 90251294 103144336 116037378 135376941 154716504 180502588 232074756 270753882 309433008 315879529 361005176 406130823 464149512 541507764 631759058 722010352 812261646 928299024 947638587 1083015528 1263518116 1624523292 1895277174 2166031056 2527036232 2842915761 3249046584 3790554348 5054072464 5685831522 6498093168 7581108696 11371663044 15162217392 22743326088 45486652176