Search a number
-
+
45012575829648 = 2437373620702689
BaseRepresentation
bin10100011110000010011101…
…00101111011111010010000
312220101011022210200110212010
422033001032211323322100
521344441223403022043
6235422254124302520
712324023406433230
oct1217011645737220
9186334283613763
1045012575829648
11133847a9642579
12506b8a46a1a40
131c1688aba873b
14b18898133cc0
15530d31505133
hex28f04e97be90

45012575829648 has 80 divisors (see below), whose sum is σ = 136486008602240. Its totient is φ = 12513148489728.

The previous prime is 45012575829593. The next prime is 45012575829691. The reversal of 45012575829648 is 84692857521054.

45012575829648 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 2×450125758296482 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1810338913 + ... + 1810363776.

It is an arithmetic number, because the mean of its divisors is an integer number (1706075107528).

Almost surely, 245012575829648 is an apocalyptic number.

45012575829648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45012575829648 is an abundant number, since it is smaller than the sum of its proper divisors (91473432772592).

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

45012575829648 is a wasteful number, since it uses less digits than its factorization.

45012575829648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620702744 (or 3620702738 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 66.

The spelling of 45012575829648 in words is "forty-five trillion, twelve billion, five hundred seventy-five million, eight hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 3620702689 7241405378 10862108067 14482810756 21724216134 25344918823 28965621512 43448432268 50689837646 57931243024 76034756469 86896864536 101379675292 133965999493 152069512938 173793729072 202759350584 267931998986 304139025876 401897998479 405518701168 535863997972 608278051752 803795996958 937761996451 1071727995944 1216556103504 1607591993916 1875523992902 2143455991888 2813285989353 3215183987832 3751047985804 5626571978706 6430367975664 7502095971608 11253143957412 15004191943216 22506287914824 45012575829648