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45405066616 = 23713277225161
BaseRepresentation
bin101010010010010110…
…100101010101111000
311100012100122100222221
4222102112211111320
51220442144112431
632505300053424
73165115461340
oct522226452570
9140170570887
1045405066616
111828aa81648
128972094274
134387b07930
1422aa391d20
1512ab2a3111
hexa925a5578

45405066616 has 64 divisors (see below), whose sum is σ = 105159660480. Its totient is φ = 17897518080.

The previous prime is 45405066599. The next prime is 45405066647. The reversal of 45405066616 is 61666050454.

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 15 ways as a sum of consecutive naturals, for example, 89076 + ... + 314236.

It is an arithmetic number, because the mean of its divisors is an integer number (1643119695).

Almost surely, 245405066616 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 45405066616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52579830240).

45405066616 is an abundant number, since it is smaller than the sum of its proper divisors (59754593864).

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

45405066616 is a wasteful number, since it uses less digits than its factorization.

45405066616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225464 (or 225460 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 45405066616 in words is "forty-five billion, four hundred five million, sixty-six thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 277 364 554 728 1108 1939 2216 3601 3878 7202 7756 14404 15512 25207 28808 50414 100828 201656 225161 450322 900644 1576127 1801288 2927093 3152254 5854186 6304508 11708372 12609016 20489651 23416744 40979302 62369597 81958604 124739194 163917208 249478388 436587179 498956776 810804761 873174358 1621609522 1746348716 3243219044 3492697432 5675633327 6486438088 11351266654 22702533308 45405066616