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769110064 = 24231032197
BaseRepresentation
bin101101110101111…
…011000000110000
31222121012211122221
4231311323000300
53033343010224
6204152410424
725026220252
oct5565730060
91877184587
10769110064
11365162858
121956a6a14
13c3458b18
1474207cd2
15477c46e4
hex2dd7b030

769110064 has 60 divisors (see below), whose sum is σ = 1578153456. Its totient is φ = 362414976.

The previous prime is 769110061. The next prime is 769110071. The reversal of 769110064 is 460011967.

769110064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (769110061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3904014 + ... + 3904210.

Almost surely, 2769110064 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 769110064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789076728).

769110064 is an abundant number, since it is smaller than the sum of its proper divisors (809043392).

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

769110064 is a wasteful number, since it uses less digits than its factorization.

769110064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 769110064 is about 27732.8336813965. The cubic root of 769110064 is about 916.2123990210.

The spelling of 769110064 in words is "seven hundred sixty-nine million, one hundred ten thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 92 103 184 197 206 368 394 412 788 824 1576 1648 2369 3152 4531 4738 9062 9476 10609 18124 18952 20291 21218 36248 37904 40582 42436 72496 81164 84872 162328 169744 244007 324656 466693 488014 933386 976028 1866772 1952056 2089973 3733544 3904112 4179946 7467088 8359892 16719784 33439568 48069379 96138758 192277516 384555032 769110064