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10273766340 = 22351812513769
BaseRepresentation
bin10011001000101110…
…10011101111000100
3222111222220101221110
421210113103233010
5132020041010330
64415242245020
7512410400355
oct114427235704
928458811843
1010273766340
1143a2300792
121ba87b6770
13c796316a6
146d6667d2c
15401e38db0
hex2645d3bc4

10273766340 has 96 divisors (see below), whose sum is σ = 29048423040. Its totient is φ = 2712960000.

The previous prime is 10273766329. The next prime is 10273766341. The reversal of 10273766340 is 4366737201.

10273766340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10273766341) 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 31 ways as a sum of consecutive naturals, for example, 2723976 + ... + 2727744.

It is an arithmetic number, because the mean of its divisors is an integer number (302587740).

Almost surely, 210273766340 is an apocalyptic number.

10273766340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10273766340 is an abundant number, since it is smaller than the sum of its proper divisors (18774656700).

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

10273766340 is a wasteful number, since it uses less digits than its factorization.

10273766340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 10273766340 in words is "ten billion, two hundred seventy-three million, seven hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 251 362 502 543 724 753 905 1004 1086 1255 1506 1810 2172 2510 2715 3012 3620 3765 3769 5020 5430 7530 7538 10860 11307 15060 15076 18845 22614 37690 45228 45431 56535 75380 90862 113070 136293 181724 226140 227155 272586 454310 545172 681465 682189 908620 946019 1362930 1364378 1892038 2046567 2725860 2728756 2838057 3410945 3784076 4093134 4730095 5676114 6821890 8186268 9460190 10232835 11352228 13643780 14190285 18920380 20465670 28380570 40931340 56761140 171229439 342458878 513688317 684917756 856147195 1027376634 1712294390 2054753268 2568441585 3424588780 5136883170 10273766340