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3128145804 = 223571672753
BaseRepresentation
bin1011101001110011…
…1011011110001100
322002000011021100000
42322130323132030
522401301131204
61234223004300
7140342541420
oct27234733614
98060137300
103128145804
111365836273
12733739690
133ab101064
14219642b80
15134958039
hexba73b78c

3128145804 has 144 divisors (see below), whose sum is σ = 9431106048. Its totient is φ = 888081408.

The previous prime is 3128145791. The next prime is 3128145827. The reversal of 3128145804 is 4085418213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134892 + ... + 1137644.

It is an arithmetic number, because the mean of its divisors is an integer number (65493792).

Almost surely, 23128145804 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 3128145804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715553024).

3128145804 is an abundant number, since it is smaller than the sum of its proper divisors (6302960244).

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

3128145804 is a wasteful number, since it uses less digits than its factorization.

3128145804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3128145804 is about 55929.8292863477. The cubic root of 3128145804 is about 1462.4992852068.

The spelling of 3128145804 in words is "three billion, one hundred twenty-eight million, one hundred forty-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 167 189 243 252 324 334 378 486 501 567 668 756 972 1002 1134 1169 1503 1701 2004 2268 2338 2753 3006 3402 3507 4509 4676 5506 6012 6804 7014 8259 9018 10521 11012 13527 14028 16518 18036 19271 21042 24777 27054 31563 33036 38542 40581 42084 49554 54108 57813 63126 74331 77084 81162 94689 99108 115626 126252 148662 162324 173439 189378 222993 231252 284067 297324 346878 378756 445986 459751 520317 568134 668979 693756 891972 919502 1040634 1136268 1337958 1379253 1560951 1839004 2081268 2675916 2758506 3121902 3218257 4137759 4682853 5517012 6243804 6436514 8275518 9365706 9654771 12413277 12873028 16551036 18731412 19309542 24826554 28964313 37239831 38619084 49653108 57928626 74479662 86892939 111719493 115857252 148959324 173785878 223438986 260678817 347571756 446877972 521357634 782036451 1042715268 1564072902 3128145804