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285961349080 = 235111941981637
BaseRepresentation
bin1000010100101001001…
…11111110011111011000
31000100010010201200002001
410022110213332133120
514141122101132310
6335211400050344
726442250235041
oct4122447763730
91010103650061
10285961349080
111003037aa060
1247507a639b4
1320c73509284
14dbaa8878c8
157689e9393a
hex42949fe7d8

285961349080 has 128 divisors (see below), whose sum is σ = 740619936000. Its totient is φ = 98276682240.

The previous prime is 285961349039. The next prime is 285961349087. The reversal of 285961349080 is 80943169582.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285961349087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3462022 + ... + 3543658.

It is an arithmetic number, because the mean of its divisors is an integer number (5786093250).

Almost surely, 2285961349080 is an apocalyptic number.

285961349080 is a gapful number since it is divisible by the number (20) 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 285961349080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370309968000).

285961349080 is an abundant number, since it is smaller than the sum of its proper divisors (454658586920).

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

285961349080 is a wasteful number, since it uses less digits than its factorization.

285961349080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82097 (or 82093 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 285961349080 in words is "two hundred eighty-five billion, nine hundred sixty-one million, three hundred forty-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 419 440 760 836 838 1045 1672 1676 2090 2095 3352 4180 4190 4609 7961 8360 8380 9218 15922 16760 18436 23045 31844 36872 39805 46090 63688 79610 81637 87571 92180 159220 163274 175142 184360 318440 326548 350284 408185 437855 653096 700568 816370 875710 898007 1551103 1632740 1751420 1796014 3102206 3265480 3502840 3592028 4490035 6204412 7184056 7755515 8980070 12408824 15511030 17062133 17960140 31022060 34124266 34205903 35920280 62044120 68248532 68411806 85310665 136497064 136823612 170621330 171029515 273647224 341242660 342059030 376264933 649912157 682485320 684118060 752529866 1299824314 1368236120 1505059732 1881324665 2599648628 3010119464 3249560785 3762649330 5199297256 6499121570 7149033727 7525298660 12998243140 14298067454 15050597320 25996486280 28596134908 35745168635 57192269816 71490337270 142980674540 285961349080