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4633760768 = 21071349727
BaseRepresentation
bin1000101000011000…
…11001010000000000
3102221221020102210012
410110030121100000
533442220321033
62043445324052
7222554213420
oct42414312000
912857212705
104633760768
111a6870105a
12a93a06628
1358b00aca0
1431d5a8480
151c1c11248
hex114319400

4633760768 has 88 divisors (see below), whose sum is σ = 11400840192. Its totient is φ = 1833099264.

The previous prime is 4633760741. The next prime is 4633760777. The reversal of 4633760768 is 8670673364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68321 + ... + 118047.

Almost surely, 24633760768 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 4633760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700420096).

4633760768 is an abundant number, since it is smaller than the sum of its proper divisors (6767079424).

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

4633760768 is a wasteful number, since it uses less digits than its factorization.

4633760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49767 (or 49749 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 50.

The square root of 4633760768 is about 68071.7325179843. The cubic root of 4633760768 is about 1667.1622558913.

The spelling of 4633760768 in words is "four billion, six hundred thirty-three million, seven hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2912 3328 3584 5824 6656 7168 11648 13312 23296 46592 49727 93184 99454 198908 348089 397816 646451 696178 795632 1292902 1392356 1591264 2585804 2784712 3182528 4525157 5171608 5569424 6365056 9050314 10343216 11138848 12730112 18100628 20686432 22277696 25460224 36201256 41372864 44555392 50920448 72402512 82745728 89110784 144805024 165491456 178221568 289610048 330982912 356443136 579220096 661965824 1158440192 2316880384 4633760768