Search a number
-
+
9855027028 = 227112310912763
BaseRepresentation
bin10010010110110011…
…11100011101010100
3221102210222020121001
421023121330131110
5130140341331103
64305523233044
7466134230140
oct111331743524
927383866531
109855027028
1141a79a6740
121ab0518784
13c1095b752
14696bc6220
153ca2c301d
hex24b67c754

9855027028 has 96 divisors (see below), whose sum is σ = 22644357120. Its totient is φ = 3638701440.

The previous prime is 9855026981. The next prime is 9855027047. The reversal of 9855027028 is 8207205589.

9855027028 is a nontrivial binomial coefficient, being equal to C(140393, 2).

It is a super-2 number, since 2×98550270282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765775 + ... + 778537.

It is an arithmetic number, because the mean of its divisors is an integer number (235878720).

Almost surely, 29855027028 is an apocalyptic number.

9855027028 is the 140392-nd triangular number.

9855027028 is the 46798-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9855027028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322178560).

9855027028 is an abundant number, since it is smaller than the sum of its proper divisors (12789330092).

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

9855027028 is a wasteful number, since it uses less digits than its factorization.

9855027028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917 (or 12915 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 9855027028 is about 99272.4887771028. The cubic root of 9855027028 is about 2143.9728096374.

The spelling of 9855027028 in words is "nine billion, eight hundred fifty-five million, twenty-seven thousand, twenty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 109 154 161 218 253 308 322 436 506 644 763 1012 1199 1526 1771 2398 2507 3052 3542 4796 5014 7084 8393 10028 12763 16786 17549 25526 27577 33572 35098 51052 55154 70196 89341 110308 140393 178682 193039 280786 293549 357364 386078 561572 587098 772156 982751 1174196 1391167 1965502 2054843 2782334 3229039 3931004 4109686 5564668 6458078 8219372 9738169 12916156 15302837 19476338 22603273 30605674 31996841 38952676 45206546 61211348 63993682 90413092 107119859 127987364 214239718 223977887 351965251 428479436 447955774 703930502 895911548 1407861004 2463756757 4927513514 9855027028