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10601270064 = 2433711318701
BaseRepresentation
bin10011101111110001…
…01000101100110000
31000100211011022121000
421313320220230300
5133202411120224
64511542002000
7523465210620
oct116770505460
930324138530
1010601270064
114550160120
12207a416300
13ccc43c188
14727d5a880
15420a7c0c9
hex277e28b30

10601270064 has 160 divisors (see below), whose sum is σ = 37938286080. Its totient is φ = 2753568000.

The previous prime is 10601269999. The next prime is 10601270089. The reversal of 10601270064 is 46007210601.

10601270064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106012700642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 126087 + ... + 192614.

It is an arithmetic number, because the mean of its divisors is an integer number (237114288).

Almost surely, 210601270064 is an apocalyptic number.

10601270064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10601270064 is an abundant number, since it is smaller than the sum of its proper divisors (27337016016).

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

10601270064 is a wasteful number, since it uses less digits than its factorization.

10601270064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318736 (or 318724 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10601270064 its reverse (46007210601), we get a palindrome (56608480665).

The spelling of 10601270064 in words is "ten billion, six hundred one million, two hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 318701 637402 956103 1274804 1912206 2230907 2549608 2868309 3505711 3824412 4461814 5099216 5736618 6692721 7011422 7648824 8604927 8923628 10517133 11473236 13385442 14022844 15297648 17209854 17847256 20078163 21034266 22946472 24539977 26770884 28045688 31551399 34419708 35694512 40156326 42068532 45892944 49079954 53541768 56091376 60234489 63102798 68839416 73619931 80312652 84137064 94654197 98159908 107083536 120468978 126205596 137678832 147239862 160625304 168274128 189308394 196319816 220859793 240937956 252411192 294479724 321250608 378616788 392639632 441719586 481875912 504822384 588959448 662579379 757233576 883439172 963751824 1177918896 1325158758 1514467152 1766878344 2650317516 3533756688 5300635032 10601270064