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10085404000 = 25537360193
BaseRepresentation
bin10010110010010001…
…10000110101100000
3222000212110121101111
421121020300311200
5131123330412000
64344433113104
7504632343130
oct113110606540
928025417344
1010085404000
114305a47331
121b556b8794
13c495c0499
146b9634ac0
153e062ccba
hex259230d60

10085404000 has 96 divisors (see below), whose sum is σ = 28319893056. Its totient is φ = 3457843200.

The previous prime is 10085403971. The next prime is 10085404001. The reversal of 10085404000 is 40458001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085404001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152097 + ... + 208096.

It is an arithmetic number, because the mean of its divisors is an integer number (294998886).

Almost surely, 210085404000 is an apocalyptic number.

10085404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10085404000 is an abundant number, since it is smaller than the sum of its proper divisors (18234489056).

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

10085404000 is an equidigital number, since it uses as much as digits as its factorization.

10085404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360225 (or 360207 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The spelling of 10085404000 in words is "ten billion, eighty-five million, four hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 360193 720386 1440772 1800965 2521351 2881544 3601930 5042702 5763088 7203860 9004825 10085404 11526176 12606755 14407720 18009650 20170808 25213510 28815440 36019300 40341616 45024125 50427020 57630880 63033775 72038600 80683232 90048250 100854040 126067550 144077200 180096500 201708080 252135100 288154400 315168875 360193000 403416160 504270200 630337750 720386000 1008540400 1260675500 1440772000 2017080800 2521351000 5042702000 10085404000