Search a number
-
+
45570700520828 = 22741109589761757
BaseRepresentation
bin10100101110010010000010…
…11010101010110101111100
312222100111221110202102202122
422113021001122222311330
521433112243313131303
6240530520225342112
712412242304145630
oct1227110132526574
9188314843672678
1045570700520828
111357a47546682a
12513baa7497938
131c573b60b65b2
14b378c2b2cdc0
155405e9e08e38
hex2972416aad7c

45570700520828 has 96 divisors (see below), whose sum is σ = 94238419524480. Its totient is φ = 18875637411840.

The previous prime is 45570700520827. The next prime is 45570700520867. The reversal of 45570700520828 is 82802500707554.

45570700520828 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-3 number, since 3×455707005208283 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45570700520828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45570700520827) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 737872526 + ... + 737934282.

It is an arithmetic number, because the mean of its divisors is an integer number (981650203380).

Almost surely, 245570700520828 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 45570700520828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47119209762240).

45570700520828 is an abundant number, since it is smaller than the sum of its proper divisors (48667719003652).

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

45570700520828 is a wasteful number, since it uses less digits than its factorization.

45570700520828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67815 (or 67813 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 53.

The spelling of 45570700520828 in words is "forty-five trillion, five hundred seventy billion, seven hundred million, five hundred twenty thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 41 82 109 164 218 287 436 574 763 1148 1526 3052 4469 5897 8938 11794 17876 23588 31283 41279 61757 62566 82558 123514 125132 165116 241777 247028 432299 483554 642773 864598 967108 1285546 1692439 1729196 2532037 2571092 3384878 4499411 5064074 6731513 6769756 8998822 10128148 13463026 17724259 17997644 26353693 26926052 35448518 47120591 52707386 70897036 94241182 105414772 184475851 188482364 275992033 364181029 368951702 551984066 728362058 737903404 1103968132 1456724116 1931944231 2549267203 3863888462 5098534406 7727776924 10197068812 14931422189 29862844378 39695732161 59725688756 79391464322 104519955323 158782928644 209039910646 277870125127 418079821292 555740250254 1111480500508 1627525018601 3255050037202 6510100074404 11392675130207 22785350260414 45570700520828