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2745090768 = 243761671999
BaseRepresentation
bin1010001110011110…
…1100001011010000
321002022101001121110
42203213230023100
521110220401033
61132220453320
7125011613040
oct24347541320
97068331543
102745090768
111189594362
126473aa240
13349943484
141c080d720
15110ee0363
hexa39ec2d0

2745090768 has 160 divisors (see below), whose sum is σ = 8364544000. Its totient is φ = 759559680.

The previous prime is 2745090763. The next prime is 2745090781. The reversal of 2745090768 is 8670905472.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745090763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1372233 + ... + 1374231.

It is an arithmetic number, because the mean of its divisors is an integer number (52278400).

Almost surely, 22745090768 is an apocalyptic number.

2745090768 is a gapful number since it is divisible by the number (28) 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 2745090768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182272000).

2745090768 is an abundant number, since it is smaller than the sum of its proper divisors (5619453232).

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

2745090768 is a wasteful number, since it uses less digits than its factorization.

2745090768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2745090768 is about 52393.6138093184. The cubic root of 2745090768 is about 1400.1854801873.

The spelling of 2745090768 in words is "two billion, seven hundred forty-five million, ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 67 84 112 122 134 168 183 201 244 268 336 366 402 427 469 488 536 732 804 854 938 976 1072 1281 1407 1464 1608 1708 1876 1999 2562 2814 2928 3216 3416 3752 3998 4087 5124 5628 5997 6832 7504 7996 8174 10248 11256 11994 12261 13993 15992 16348 20496 22512 23988 24522 27986 28609 31984 32696 41979 47976 49044 55972 57218 65392 83958 85827 95952 98088 111944 114436 121939 133933 167916 171654 196176 223888 228872 243878 267866 335832 343308 365817 401799 457744 487756 535732 671664 686616 731634 803598 853573 937531 975512 1071464 1373232 1463268 1607196 1707146 1875062 1951024 2142928 2560719 2812593 2926536 3214392 3414292 3750124 5121438 5625186 5853072 6428784 6828584 7500248 8169913 10242876 11250372 13657168 15000496 16339826 20485752 22500744 24509739 32679652 40971504 45001488 49019478 57189391 65359304 98038956 114378782 130718608 171568173 196077912 228757564 343136346 392155824 457515128 686272692 915030256 1372545384 2745090768