Search a number
-
+
45339774480 = 2432572112131943
BaseRepresentation
bin101010001110011101…
…100000111000010000
311100000210210012000200
4222032131200320100
51220323440240410
632455004415200
73163363503300
oct521635407020
9140023705020
1045339774480
1118257136700
128954247500
134377426c30
1422a1837600
1512a56a73c0
hexa8e760e10

45339774480 has 2160 divisors, whose sum is σ = 225836170560. Its totient is φ = 8047226880.

The previous prime is 45339774463. The next prime is 45339774497. The reversal of 45339774480 is 8447793354.

45339774480 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 97 + 74 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (45339774463) and next prime (45339774497).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1054413339 + ... + 1054413381.

Almost surely, 245339774480 is an apocalyptic number.

45339774480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45339774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112918085280).

45339774480 is an abundant number, since it is smaller than the sum of its proper divisors (180496396080).

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

45339774480 is a wasteful number, since it uses less digits than its factorization.

45339774480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 45339774480 in words is "forty-five billion, three hundred thirty-nine million, seven hundred seventy-four thousand, four hundred eighty".