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4593678768 = 2432710145121
BaseRepresentation
bin1000100011100110…
…11111100110110000
3102212010211001121200
410101303133212300
533401440210033
62035454251200
7221556424320
oct42163374660
912763731550
104593678768
111a48014938
12a824b6b00
13582916023
14318133280
151bd445013
hex111cdf9b0

4593678768 has 120 divisors (see below), whose sum is σ = 14838279456. Its totient is φ = 1299456000.

The previous prime is 4593678767. The next prime is 4593678833. The reversal of 4593678768 is 8678763954.

It is a super-2 number, since 2×45936787682 = 42203769247147995648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4593678763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79248 + ... + 124368.

Almost surely, 24593678768 is an apocalyptic number.

4593678768 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 4593678768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419139728).

4593678768 is an abundant number, since it is smaller than the sum of its proper divisors (10244600688).

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

4593678768 is a wasteful number, since it uses less digits than its factorization.

4593678768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45243 (or 45234 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 4593678768 is about 67776.6830702123. The cubic root of 4593678768 is about 1662.3413479523.

The spelling of 4593678768 in words is "four billion, five hundred ninety-three million, six hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 101 112 126 144 168 202 252 303 336 404 504 606 707 808 909 1008 1212 1414 1616 1818 2121 2424 2828 3636 4242 4848 5656 6363 7272 8484 11312 12726 14544 16968 25452 33936 45121 50904 90242 101808 135363 180484 270726 315847 360968 406089 541452 631694 721936 812178 947541 1082904 1263388 1624356 1895082 2165808 2526776 2842623 3248712 3790164 4557221 5053552 5685246 6497424 7580328 9114442 11370492 13671663 15160656 18228884 22740984 27343326 31900547 36457768 41014989 45481968 54686652 63801094 72915536 82029978 95701641 109373304 127602188 164059956 191403282 218746608 255204376 287104923 328119912 382806564 510408752 574209846 656239824 765613128 1148419692 1531226256 2296839384 4593678768