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86494796640 = 2532578580833
BaseRepresentation
bin101000010001101111…
…1011101101101100000
322021020222012221001200
41100203133131231200
52404120131443030
6103422443401200
76151264432530
oct1204337355540
9267228187050
1086494796640
113375606aa0a
121491ab23200
138205883455
1442875874c0
1523b3792d60
hex14237ddb60

86494796640 has 144 divisors (see below), whose sum is σ = 337329746208. Its totient is φ = 19770236928.

The previous prime is 86494796603. The next prime is 86494796669. The reversal of 86494796640 is 4669749468.

86494796640 is a `hidden beast` number, since 8 + 64 + 9 + 479 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4280337 + ... + 4300496.

It is an arithmetic number, because the mean of its divisors is an integer number (2342567682).

Almost surely, 286494796640 is an apocalyptic number.

86494796640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86494796640 is an abundant number, since it is smaller than the sum of its proper divisors (250834949568).

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

86494796640 is a wasteful number, since it uses less digits than its factorization.

86494796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8580861 (or 8580850 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 86494796640 in words is "eighty-six billion, four hundred ninety-four million, seven hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 8580833 17161666 25742499 34323332 42904165 51484998 60065831 68646664 77227497 85808330 102969996 120131662 128712495 137293328 154454994 171616660 180197493 205939992 240263324 257424990 274586656 300329155 308909988 343233320 360394986 386137485 411879984 480526648 514849980 540592479 600658310 617819976 686466640 720789972 772274970 823759968 900987465 961053296 1029699960 1081184958 1201316620 1235639952 1372933280 1441579944 1544549940 1801974930 1922106592 2059399920 2162369916 2402633240 2471279904 2702962395 2883159888 3089099880 3603949860 4118799840 4324739832 4805266480 5405924790 5766319776 6178199760 7207899720 8649479664 9610532960 10811849580 12356399520 14415799440 17298959328 21623699160 28831598880 43247398320 86494796640