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4684135808 = 27114770783
BaseRepresentation
bin1000101110011001…
…00011110110000000
3110002110000202100102
410113030203312000
534043114321213
62052445141532
7224035332422
oct42714436600
913073022312
104684135808
111a94088620
12aa885a8a8
13598597cc1
1432615c812
151c6362158
hex117323d80

4684135808 has 64 divisors (see below), whose sum is σ = 10396753920. Its totient is φ = 2083822080.

The previous prime is 4684135801. The next prime is 4684135811. The reversal of 4684135808 is 8085314864.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×46841358082 = 43882256535575625728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4684135801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30785 + ... + 101567.

It is an arithmetic number, because the mean of its divisors is an integer number (162449280).

Almost surely, 24684135808 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 4684135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198376960).

4684135808 is an abundant number, since it is smaller than the sum of its proper divisors (5712618112).

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

4684135808 is a wasteful number, since it uses less digits than its factorization.

4684135808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70855 (or 70843 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The square root of 4684135808 is about 68440.7466937642. The cubic root of 4684135808 is about 1673.1819058786.

The spelling of 4684135808 in words is "four billion, six hundred eighty-four million, one hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 704 752 1034 1408 1504 2068 3008 4136 6016 8272 16544 33088 66176 70783 141566 283132 566264 778613 1132528 1557226 2265056 3114452 3326801 4530112 6228904 6653602 9060224 12457808 13307204 24915616 26614408 36594811 49831232 53228816 73189622 99662464 106457632 146379244 212915264 292758488 425830528 585516976 1171033952 2342067904 4684135808