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78030053280 = 2532554187537
BaseRepresentation
bin100100010101011110…
…1000001111110100000
321110102001022102010100
41020222331001332200
52234301143201110
655502502502400
75431441336464
oct1105275017640
9243361272110
1078030053280
1130101a26a43
1213158134a00
137486c80a7a
143ac32a44a4
15206a595bc0
hex122af41fa0

78030053280 has 72 divisors (see below), whose sum is σ = 266277561732. Its totient is φ = 20808013824.

The previous prime is 78030053267. The next prime is 78030053281. The reversal of 78030053280 is 8235003087.

78030053280 is a `hidden beast` number, since 78 + 0 + 300 + 5 + 3 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67228192656 + 10801860624 = 259284^2 + 103932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (78030053281) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27092329 + ... + 27095208.

Almost surely, 278030053280 is an apocalyptic number.

It is an amenable number.

78030053280 is an abundant number, since it is smaller than the sum of its proper divisors (188247508452).

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

78030053280 is a wasteful number, since it uses less digits than its factorization.

78030053280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54187558 (or 54187547 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 78030053280 in words is "seventy-eight billion, thirty million, fifty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 54187537 108375074 162562611 216750148 270937685 325125222 433500296 487687833 541875370 650250444 812813055 867000592 975375666 1083750740 1300500888 1625626110 1734001184 1950751332 2167501480 2438439165 2601001776 3251252220 3901502664 4335002960 4876878330 5202003552 6502504440 7803005328 8670005920 9753756660 13005008880 15606010656 19507513320 26010017760 39015026640 78030053280