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4048566768 = 2432313172861
BaseRepresentation
bin1111000101010000…
…0011100111110000
3101110011002111112100
43301110003213300
531242413114033
61505422500400
7202220151441
oct36124034760
911404074470
104048566768
111798346154
1294ba34700
134c69c764c
142a59972c8
1518a66a513
hexf15039f0

4048566768 has 120 divisors (see below), whose sum is σ = 11736855936. Its totient is φ = 1301414400.

The previous prime is 4048566763. The next prime is 4048566817. The reversal of 4048566768 is 8676658404.

4048566768 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 566 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048566763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413658 + ... + 1416518.

Almost surely, 24048566768 is an apocalyptic number.

4048566768 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 4048566768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868427968).

4048566768 is an abundant number, since it is smaller than the sum of its proper divisors (7688289168).

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

4048566768 is a wasteful number, since it uses less digits than its factorization.

4048566768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 4048566768 is about 63628.3487763120. The cubic root of 4048566768 is about 1593.7998024207.

The spelling of 4048566768 in words is "four billion, forty-eight million, five hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 317 372 496 558 634 744 951 1116 1268 1488 1902 2232 2536 2853 2861 3804 4464 5072 5706 5722 7608 8583 9827 11412 11444 15216 17166 19654 22824 22888 25749 29481 34332 39308 45648 45776 51498 58962 68664 78616 88443 88691 102996 117924 137328 157232 176886 177382 205992 235848 266073 353772 354764 411984 471696 532146 707544 709528 798219 906937 1064292 1415088 1419056 1596438 1813874 2128584 2720811 3192876 3627748 4257168 5441622 6385752 7255496 8162433 10883244 12771504 14510992 16324866 21766488 28115047 32649732 43532976 56230094 65299464 84345141 112460188 130598928 168690282 224920376 253035423 337380564 449840752 506070846 674761128 1012141692 1349522256 2024283384 4048566768