Search a number
-
+
45456056226112 = 267317320077007
BaseRepresentation
bin10100101010111100100000…
…00101011001000101000000
312221221120000201021211202011
422111132100011121011000
521424223000343213422
6240402120212302304
712401043306546430
oct1225362005310500
9187846021254664
1045456056226112
1113535894780324
125121831311994
131c49645660b0c
14b32128bdc2c0
1553c63a21e077
hex295790159140

45456056226112 has 56 divisors (see below), whose sum is σ = 103413040360704. Its totient is φ = 19419712108032.

The previous prime is 45456056226083. The next prime is 45456056226127. The reversal of 45456056226112 is 21162265065454.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 159896488 + ... + 160180519.

Almost surely, 245456056226112 is an apocalyptic number.

It is an amenable number.

45456056226112 is an abundant number, since it is smaller than the sum of its proper divisors (57956984134592).

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

45456056226112 is a wasteful number, since it uses less digits than its factorization.

45456056226112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320077343 (or 320077333 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 45456056226112 in words is "forty-five trillion, four hundred fifty-six billion, fifty-six million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 317 448 634 1268 2219 2536 4438 5072 8876 10144 17752 20288 35504 71008 142016 320077007 640154014 1280308028 2240539049 2560616056 4481078098 5121232112 8962156196 10242464224 17924312392 20484928448 35848624784 71697249568 101464411219 143394499136 202928822438 405857644876 710250878533 811715289752 1420501757066 1623430579504 2841003514132 3246861159008 5682007028264 6493722318016 11364014056528 22728028113056 45456056226112