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18527780080 = 24519103118343
BaseRepresentation
bin10001010000010101…
…110111110011110000
31202211020021202012001
4101100111313303300
5300421102430310
612302254343344
71224064350355
oct212025676360
952736252161
1018527780080
1179484a3447
123710abab54
1319936910a4
14c7a97462c
157368ac93a
hex450577cf0

18527780080 has 80 divisors (see below), whose sum is σ = 45784926720. Its totient is φ = 6952829184.

The previous prime is 18527780069. The next prime is 18527780087. The reversal of 18527780080 is 8008772581.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 18527780080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18527780087) 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 15 ways as a sum of consecutive naturals, for example, 97389 + ... + 215731.

It is an arithmetic number, because the mean of its divisors is an integer number (572311584).

Almost surely, 218527780080 is an apocalyptic number.

18527780080 is a gapful number since it is divisible by the number (10) 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 18527780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22892463360).

18527780080 is an abundant number, since it is smaller than the sum of its proper divisors (27257146640).

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

18527780080 is a wasteful number, since it uses less digits than its factorization.

18527780080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118478 (or 118472 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 46.

The spelling of 18527780080 in words is "eighteen billion, five hundred twenty-seven million, seven hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 103 152 190 206 304 380 412 515 760 824 1030 1520 1648 1957 2060 3914 4120 7828 8240 9785 15656 19570 31312 39140 78280 118343 156560 236686 473372 591715 946744 1183430 1893488 2248517 2366860 4497034 4733720 8994068 9467440 11242585 12189329 17988136 22485170 24378658 35976272 44970340 48757316 60946645 89940680 97514632 121893290 179881360 195029264 231597251 243786580 463194502 487573160 926389004 975146320 1157986255 1852778008 2315972510 3705556016 4631945020 9263890040 18527780080