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18310506900 = 2235278719289
BaseRepresentation
bin10001000011011001…
…000010100110010100
31202021002110010102020
4101003121002212110
5244444442210100
612224533413140
71215515512020
oct210331024624
952232403366
1018310506900
117846892934
12367019a1b0
13195a66988a
14c59b77380
157227905a0
hex443642994

18310506900 has 72 divisors (see below), whose sum is σ = 60546749760. Its totient is φ = 4185258240.

The previous prime is 18310506899. The next prime is 18310506913. The reversal of 18310506900 is 960501381.

It is a super-2 number, since 2×183105069002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4357545 + ... + 4361744.

It is an arithmetic number, because the mean of its divisors is an integer number (840927080).

Almost surely, 218310506900 is an apocalyptic number.

18310506900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18310506900 is an abundant number, since it is smaller than the sum of its proper divisors (42236242860).

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

18310506900 is a wasteful number, since it uses less digits than its factorization.

18310506900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719313 (or 8719306 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 18310506900 in words is "eighteen billion, three hundred ten million, five hundred six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 8719289 17438578 26157867 34877156 43596445 52315734 61035023 87192890 104631468 122070046 130789335 174385780 183105069 217982225 244140092 261578670 305175115 366210138 435964450 523157340 610350230 653946675 732420276 871928900 915525345 1220700460 1307893350 1525875575 1831050690 2615786700 3051751150 3662101380 4577626725 6103502300 9155253450 18310506900