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969768468 = 22321729101541
BaseRepresentation
bin111001110011010…
…111111000010100
32111120210100020200
4321303113320110
53441230042333
6240121300500
733013616214
oct7163277024
92446710220
10969768468
11458455449
12230934730
13125bb39c6
1492b1c244
155a20dc13
hex39cd7e14

969768468 has 144 divisors (see below), whose sum is σ = 2716655760. Its totient is φ = 290304000.

The previous prime is 969768467. The next prime is 969768473. The reversal of 969768468 is 864867969.

It can be written as a sum of positive squares in 8 ways, for example, as 147914244 + 821854224 = 12162^2 + 28668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969768467) 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 47 ways as a sum of consecutive naturals, for example, 1792278 + ... + 1792818.

It is an arithmetic number, because the mean of its divisors is an integer number (18865665).

Almost surely, 2969768468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969768468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358327880).

969768468 is an abundant number, since it is smaller than the sum of its proper divisors (1746887292).

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

969768468 is a wasteful number, since it uses less digits than its factorization.

969768468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 693 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 969768468 is about 31141.1057607144. The cubic root of 969768468 is about 989.8195324550.

The spelling of 969768468 in words is "nine hundred sixty-nine million, seven hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 101 102 116 153 174 202 204 261 303 306 348 404 493 522 541 606 612 909 986 1044 1082 1212 1479 1623 1717 1818 1972 2164 2929 2958 3246 3434 3636 4437 4869 5151 5858 5916 6492 6868 8787 8874 9197 9738 10302 11716 15453 15689 17574 17748 18394 19476 20604 26361 27591 30906 31378 35148 36788 47067 49793 52722 54641 55182 61812 62756 82773 94134 99586 105444 109282 110364 141201 149379 163923 165546 188268 199172 218564 266713 282402 298758 327846 331092 448137 491769 533426 564804 597516 655692 800139 896274 928897 983538 1066852 1584589 1600278 1792548 1857794 1967076 2400417 2786691 3169178 3200556 3715588 4753767 4800834 5573382 6338356 8360073 9507534 9601668 11146764 14261301 16720146 19015068 26938013 28522602 33440292 53876026 57045204 80814039 107752052 161628078 242442117 323256156 484884234 969768468