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10160301704 = 2372234723977
BaseRepresentation
bin10010111011001100…
…11110011010001000
3222020002101210201112
421131212132122020
5131302014123304
64400110305452
7506532065600
oct113546363210
928202353645
1010160301704
114344253063
121b767b8288
13c5bc85357
146c556dc00
153e6ec4b6e
hex25d99e688

10160301704 has 96 divisors (see below), whose sum is σ = 23617370880. Its totient is φ = 4076303616.

The previous prime is 10160301673. The next prime is 10160301707. The reversal of 10160301704 is 40710306101.

10160301704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 10160301704.

It is not an unprimeable number, because it can be changed into a prime (10160301707) 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 23 ways as a sum of consecutive naturals, for example, 411764 + ... + 435740.

It is an arithmetic number, because the mean of its divisors is an integer number (246014280).

Almost surely, 210160301704 is an apocalyptic number.

10160301704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10160301704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808685440).

10160301704 is an abundant number, since it is smaller than the sum of its proper divisors (13457069176).

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

10160301704 is a wasteful number, since it uses less digits than its factorization.

10160301704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24067 (or 24056 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 10160301704 its reverse (40710306101), we get a palindrome (50870607805).

The spelling of 10160301704 in words is "ten billion, one hundred sixty million, three hundred one thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 47 49 56 92 94 98 161 184 188 196 322 329 376 392 644 658 1081 1127 1288 1316 2162 2254 2303 2632 4324 4508 4606 7567 8648 9016 9212 15134 18424 23977 30268 47954 52969 60536 95908 105938 167839 191816 211876 335678 423752 551471 671356 1102942 1126919 1174873 1342712 2205884 2253838 2349746 3860297 4411768 4507676 4699492 7720594 7888433 9015352 9398984 15441188 15776866 25919137 27022079 30882376 31553732 51838274 54044158 55219031 63107464 103676548 108088316 110438062 181433959 207353096 216176632 220876124 362867918 441752248 725735836 1270037713 1451471672 2540075426 5080150852 10160301704