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45030280680 = 233257211217273
BaseRepresentation
bin101001111100000000…
…111000110111101000
311022020020102021100100
4221330000320313220
51214210222440210
632404151105400
73152615033100
oct517400706750
9138206367310
1045030280680
1118108468400
128888672260
134328283ac8
1422726b2200
1512884205c0
hexa7c038de8

45030280680 has 1296 divisors, whose sum is σ = 201503434860. Its totient is φ = 8685895680.

The previous prime is 45030280657. The next prime is 45030280699. The reversal of 45030280680 is 8608203054.

It can be written as a sum of positive squares in 6 ways, for example, as 33640695396 + 11389585284 = 183414^2 + 106722^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 323 ways as a sum of consecutive naturals, for example, 616853124 + ... + 616853196.

Almost surely, 245030280680 is an apocalyptic number.

45030280680 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 45030280680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100751717430).

45030280680 is an abundant number, since it is smaller than the sum of its proper divisors (156473154180).

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

45030280680 is a wasteful number, since it uses less digits than its factorization.

45030280680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45030280680 in words is "forty-five billion, thirty million, two hundred eighty thousand, six hundred eighty".