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10314366660 = 2234513489761
BaseRepresentation
bin10011001101100100…
…01011111011000100
3222121211022010010000
421212302023323010
5132110434213120
64423252401300
7513412445553
oct114662137304
928554263100
1010314366660
114413211374
121bba316230
13c84b78550
146dbbd5d9a
154057a8990
hex266c8bec4

10314366660 has 120 divisors (see below), whose sum is σ = 34845586776. Its totient is φ = 2538915840.

The previous prime is 10314366641. The next prime is 10314366661. The reversal of 10314366660 is 6666341301.

10314366660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 182736324 + 10131630336 = 13518^2 + 100656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10314366661) 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 39 ways as a sum of consecutive naturals, for example, 223821 + ... + 265940.

Almost surely, 210314366660 is an apocalyptic number.

10314366660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314366660 is an abundant number, since it is smaller than the sum of its proper divisors (24531220116).

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

10314366660 is a wasteful number, since it uses less digits than its factorization.

10314366660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489795 (or 489784 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10314366660 in words is "ten billion, three hundred fourteen million, three hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 489761 979522 1469283 1959044 2448805 2938566 4407849 4897610 5877132 6366893 7346415 8815698 9795220 12733786 13223547 14692830 17631396 19100679 22039245 25467572 26447094 29385660 31834465 38201358 39670641 44078490 52894188 57302037 63668930 66117735 76402716 79341282 88156980 95503395 114604074 127337860 132235470 158682564 171906111 191006790 198353205 229208148 264470940 286510185 343812222 382013580 396706410 515718333 573020370 687624444 793412820 859530555 1031436666 1146040740 1719061110 2062873332 2578591665 3438122220 5157183330 10314366660