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4063827968 = 21117151773
BaseRepresentation
bin1111001000111001…
…0001100000000000
3101111012210211221222
43302032101200000
531310314443333
61511125534212
7202463652644
oct36216214000
911435724858
104063827968
1117a5a1a112
12954b74368
134c9c0bb45
142a7a0ac24
1518bb82298
hexf2391800

4063827968 has 96 divisors (see below), whose sum is σ = 8671834080. Its totient is φ = 1897267200.

The previous prime is 4063827953. The next prime is 4063828001. The reversal of 4063827968 is 8697283604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5256830 + ... + 5257602.

It is an arithmetic number, because the mean of its divisors is an integer number (90331605).

Almost surely, 24063827968 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 4063827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335917040).

4063827968 is an abundant number, since it is smaller than the sum of its proper divisors (4608006112).

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

4063827968 is a wasteful number, since it uses less digits than its factorization.

4063827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The square root of 4063827968 is about 63748.1605067942. The cubic root of 4063827968 is about 1595.7999175479.

The spelling of 4063827968 in words is "four billion, sixty-three million, eight hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 151 256 272 302 512 544 604 773 1024 1088 1208 1546 2048 2176 2416 2567 3092 4352 4832 5134 6184 8704 9664 10268 12368 13141 17408 19328 20536 24736 26282 34816 38656 41072 49472 52564 77312 82144 98944 105128 116723 154624 164288 197888 210256 233446 309248 328576 395776 420512 466892 657152 791552 841024 933784 1314304 1583104 1682048 1867568 1984291 2628608 3364096 3735136 3968582 5257216 6728192 7470272 7937164 13456384 14940544 15874328 26912768 29881088 31748656 59762176 63497312 119524352 126994624 239048704 253989248 507978496 1015956992 2031913984 4063827968