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968368135 = 57241149647
BaseRepresentation
bin111001101110000…
…010000000000111
32111111011012100111
4321232002000013
53440400240020
6240031253451
732665664500
oct7156020007
92444135314
10968368135
11457689349
1223037a287
131258134c7
1492875ba7
155a033d5a
hex39b82007

968368135 has 48 divisors (see below), whose sum is σ = 1396180800. Its totient is φ = 642485760.

The previous prime is 968368133. The next prime is 968368139. The reversal of 968368135 is 531863869.

968368135 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 968368135 - 21 = 968368133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968368133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1496382 + ... + 1497028.

It is an arithmetic number, because the mean of its divisors is an integer number (29087100).

Almost surely, 2968368135 is an apocalyptic number.

968368135 is a deficient number, since it is larger than the sum of its proper divisors (427812665).

968368135 is a wasteful number, since it uses less digits than its factorization.

968368135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 849 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 968368135 is about 31118.6139633500. The cubic root of 968368135 is about 989.3428741268.

The spelling of 968368135 in words is "nine hundred sixty-eight million, three hundred sixty-eight thousand, one hundred thirty-five".

Divisors: 1 5 7 35 41 49 149 205 245 287 647 745 1043 1435 2009 3235 4529 5215 6109 7301 10045 22645 26527 30545 31703 36505 42763 96403 132635 158515 185689 213815 299341 482015 674821 928445 1299823 1496705 3374105 3952523 4723747 6499115 19762615 23618735 27667661 138338305 193673627 968368135