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4783268864 = 21011715981
BaseRepresentation
bin1000111010001101…
…01110010000000000
3110100100120020100002
410131012232100000
534244004100424
62110350015132
7226351054163
oct43506562000
913310506302
104783268864
112035037770
12b15aa74a8
135b2c9700a
143353a5ada
151cede4cae
hex11d1ae400

4783268864 has 88 divisors (see below), whose sum is σ = 10579813056. Its totient is φ = 2143232000.

The previous prime is 4783268857. The next prime is 4783268911. The reversal of 4783268864 is 4688623874.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×47832688642 = 45759322050623700992, which contains 22 as substring.

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, 796754 + ... + 802734.

Almost surely, 24783268864 is an apocalyptic number.

4783268864 is a gapful number since it is divisible by the number (44) 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 4783268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289906528).

4783268864 is an abundant number, since it is smaller than the sum of its proper divisors (5796544192).

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

4783268864 is a wasteful number, since it uses less digits than its factorization.

4783268864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6065 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 56.

The square root of 4783268864 is about 69161.1803253820. The cubic root of 4783268864 is about 1684.9031063691.

The spelling of 4783268864 in words is "four billion, seven hundred eighty-three million, two hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 256 284 352 512 568 704 781 1024 1136 1408 1562 2272 2816 3124 4544 5632 5981 6248 9088 11264 11962 12496 18176 23924 24992 36352 47848 49984 65791 72704 95696 99968 131582 191392 199936 263164 382784 399872 424651 526328 765568 799744 849302 1052656 1531136 1698604 2105312 3062272 3397208 4210624 4671161 6124544 6794416 8421248 9342322 13588832 16842496 18684644 27177664 33684992 37369288 54355328 67369984 74738576 108710656 149477152 217421312 298954304 434842624 597908608 1195817216 2391634432 4783268864