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8675005768 = 23111356313469
BaseRepresentation
bin10000001010001001…
…00001010101001000
3211101120112221201221
420011010201111020
5120231300141033
63552451251424
7424655222002
oct100504412510
924346487657
108675005768
1137518a6260
1218212a9b74
13a83340b10
145c41b7372
1535b8d212d
hex205121548

8675005768 has 64 divisors (see below), whose sum is σ = 19144641600. Its totient is φ = 3633127680.

The previous prime is 8675005763. The next prime is 8675005789.

8675005768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (8675005763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637338 + ... + 650806.

It is an arithmetic number, because the mean of its divisors is an integer number (299135025).

Almost surely, 28675005768 is an apocalyptic number.

8675005768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8675005768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9572320800).

8675005768 is an abundant number, since it is smaller than the sum of its proper divisors (10469635832).

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

8675005768 is a wasteful number, since it uses less digits than its factorization.

8675005768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14062 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The square root of 8675005768 is about 93139.7110152270. The cubic root of 8675005768 is about 2054.7386527378.

The spelling of 8675005768 in words is "eight billion, six hundred seventy-five million, five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 563 572 1126 1144 2252 4504 6193 7319 12386 13469 14638 24772 26938 29276 49544 53876 58552 80509 107752 148159 161018 175097 296318 322036 350194 592636 644072 700388 1185272 1400776 1926067 3852134 7583047 7704268 15166094 15408536 30332188 60664376 83413517 98579611 166827034 197159222 333654068 394318444 667308136 788636888 1084375721 2168751442 4337502884 8675005768