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2873692416 = 2837310909
BaseRepresentation
bin1010101101001001…
…0001000100000000
321102021100200220110
42223102101010000
521341131124131
61153053111320
7131132661000
oct25322210400
97367320813
102873692416
111245140711
12682488540
1336a48c61a
141d3928000
1511c444646
hexab491100

2873692416 has 144 divisors (see below), whose sum is σ = 8920016000. Its totient is φ = 820979712.

The previous prime is 2873692403. The next prime is 2873692417. The reversal of 2873692416 is 6142963782.

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 (2873692417) 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, 257970 + ... + 268878.

Almost surely, 22873692416 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 2873692416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460008000).

2873692416 is an abundant number, since it is smaller than the sum of its proper divisors (6046323584).

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

2873692416 is an equidigital number, since it uses as much as digits as its factorization.

2873692416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10949 (or 10921 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 2873692416 is about 53606.8318034185. The cubic root of 2873692416 is about 1421.7178865138.

The spelling of 2873692416 in words is "two billion, eight hundred seventy-three million, six hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 588 672 686 768 784 896 1029 1176 1344 1372 1568 1792 2058 2352 2688 2744 3136 4116 4704 5376 5488 6272 8232 9408 10909 10976 12544 16464 18816 21818 21952 32727 32928 37632 43636 43904 65454 65856 76363 87272 87808 130908 131712 152726 174544 229089 261816 263424 305452 349088 458178 523632 534541 610904 698176 916356 1047264 1069082 1221808 1396352 1603623 1832712 2094528 2138164 2443616 2792704 3207246 3665424 3741787 4189056 4276328 4887232 6414492 7330848 7483574 8378112 8552656 9774464 11225361 12828984 14661696 14967148 17105312 19548928 22450722 25657968 29323392 29934296 34210624 44901444 51315936 58646784 59868592 68421248 89802888 102631872 119737184 136842496 179605776 205263744 239474368 359211552 410527488 478948736 718423104 957897472 1436846208 2873692416