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45543513040 = 2452297324781
BaseRepresentation
bin101010011010100110…
…101101101111010000
311100120000011011210021
4222122212231233100
51221233114404130
632531123313224
73201416321254
oct523246555720
9140500134707
1045543513040
1118351142483
1289b051b814
1343aa6bcaac
1422c0910264
1512b84ee37a
hexa9a9adbd0

45543513040 has 40 divisors (see below), whose sum is σ = 105897550248. Its totient is φ = 18215877120.

The previous prime is 45543513017. The next prime is 45543513131. The reversal of 45543513040 is 4031534554.

It can be written as a sum of positive squares in 4 ways, for example, as 3701992336 + 41841520704 = 60844^2 + 204552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45543512987 and 45543513005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1825450 + ... + 1850230.

Almost surely, 245543513040 is an apocalyptic number.

45543513040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45543513040 is an abundant number, since it is smaller than the sum of its proper divisors (60354037208).

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

45543513040 is a wasteful number, since it uses less digits than its factorization.

45543513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47767 (or 47761 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 45543513040 in words is "forty-five billion, five hundred forty-three million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 22973 24781 45946 49562 91892 99124 114865 123905 183784 198248 229730 247810 367568 396496 459460 495620 918920 991240 1837840 1982480 569293913 1138587826 2277175652 2846469565 4554351304 5692939130 9108702608 11385878260 22771756520 45543513040