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4108768608 = 253753115363
BaseRepresentation
bin1111010011100110…
…1101010101100000
3101121100101001221010
43310321231111200
531403321043413
61515413100520
7203550646140
oct36471552540
911540331833
104108768608
11181932473a
12968027740
13506315439
142ad988920
15190aacdc3
hexf4e6d560

4108768608 has 96 divisors (see below), whose sum is σ = 12558986496. Its totient is φ = 1151774208.

The previous prime is 4108768603. The next prime is 4108768621. The reversal of 4108768608 is 8068678014.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108768603) 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 15 ways as a sum of consecutive naturals, for example, 22066 + ... + 93297.

It is an arithmetic number, because the mean of its divisors is an integer number (130822776).

Almost surely, 24108768608 is an apocalyptic number.

4108768608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4108768608 is an abundant number, since it is smaller than the sum of its proper divisors (8450217888).

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

4108768608 is a wasteful number, since it uses less digits than its factorization.

4108768608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115436 (or 115428 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 4108768608 is about 64099.6771286720. The cubic root of 4108768608 is about 1601.6608545465.

The spelling of 4108768608 in words is "four billion, one hundred eight million, seven hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 115363 230726 346089 461452 692178 807541 922904 1384356 1615082 1845808 2422623 2768712 3230164 3691616 4845246 5537424 6114239 6460328 9690492 11074848 12228478 12920656 18342717 19380984 24456956 25841312 36685434 38761968 42799673 48913912 73370868 77523936 85599346 97827824 128399019 146741736 171198692 195655648 256798038 293483472 342397384 513596076 586966944 684794768 1027192152 1369589536 2054384304 4108768608