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118769664 = 2113131487
BaseRepresentation
bin1110001010001…
…00100000000000
322021111010100110
413011010200000
5220401112124
615441351320
72641345146
oct705044000
9267433313
10118769664
1161051452
1233938540
131b7b5c10
1411ab9596
15a661029
hex7144800

118769664 has 96 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 36519936.

The previous prime is 118769663. The next prime is 118769669. The reversal of 118769664 is 466967811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (118769663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79129 + ... + 80615.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2118769664 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 118769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

118769664 is an abundant number, since it is smaller than the sum of its proper divisors (222458496).

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

118769664 is a wasteful number, since it uses less digits than its factorization.

118769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1505 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 118769664 is about 10898.1495677018. The cubic root of 118769664 is about 491.5509154817.

The spelling of 118769664 in words is "one hundred eighteen million, seven hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1487 1536 1664 2048 2496 2974 3072 3328 4461 4992 5948 6144 6656 8922 9984 11896 13312 17844 19331 19968 23792 26624 35688 38662 39936 47584 57993 71376 77324 79872 95168 115986 142752 154648 190336 231972 285504 309296 380672 463944 571008 618592 761344 927888 1142016 1237184 1522688 1855776 2284032 2474368 3045376 3711552 4568064 4948736 7423104 9136128 9897472 14846208 19794944 29692416 39589888 59384832 118769664