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4684095888 = 2431137691123
BaseRepresentation
bin1000101110011000…
…11010000110010000
3110002102221201120220
410113030122012100
534043112032023
62052444233040
7224035105143
oct42714320620
913072851526
104684095888
111a9406062a
12aa883b780
13598582a94
1432614c05a
151c63553e3
hex11731a190

4684095888 has 80 divisors (see below), whose sum is σ = 12234425280. Its totient is φ = 1544159232.

The previous prime is 4684095883. The next prime is 4684095961. The reversal of 4684095888 is 8885904864.

It is not an unprimeable number, because it can be changed into a prime (4684095883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4170495 + ... + 4171617.

It is an arithmetic number, because the mean of its divisors is an integer number (152930316).

Almost surely, 24684095888 is an apocalyptic number.

4684095888 is a gapful number since it is divisible by the number (48) 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 4684095888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117212640).

4684095888 is an abundant number, since it is smaller than the sum of its proper divisors (7550329392).

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

4684095888 is a wasteful number, since it uses less digits than its factorization.

4684095888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The square root of 4684095888 is about 68440.4550540103. The cubic root of 4684095888 is about 1673.1771526993.

The spelling of 4684095888 in words is "four billion, six hundred eighty-four million, ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 769 904 1123 1356 1538 1808 2246 2307 2712 3076 3369 4492 4614 5424 6152 6738 8984 9228 12304 13476 17968 18456 26952 36912 53904 86897 126899 173794 253798 260691 347588 380697 507596 521382 695176 761394 863587 1015192 1042764 1390352 1522788 1727174 2030384 2085528 2590761 3045576 3454348 4171056 5181522 6091152 6908696 10363044 13817392 20726088 41452176 97585331 195170662 292755993 390341324 585511986 780682648 1171023972 1561365296 2342047944 4684095888