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9869185420 = 225314328609
BaseRepresentation
bin10010011000011111…
…11101000110001100
3221110210121120020221
421030033331012030
5130203002413140
64311150521124
7466365456223
oct111417750614
927423546227
109869185420
114204997096
121ab52061a4
13c13877cb3
14698a2dcba
153cb66d14a
hex24c3fd18c

9869185420 has 72 divisors (see below), whose sum is σ = 21905493120. Its totient is φ = 3731051520.

The previous prime is 9869185387. The next prime is 9869185421. The reversal of 9869185420 is 245819689.

9869185420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9869185421) 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, 1142076 + ... + 1150684.

It is an arithmetic number, because the mean of its divisors is an integer number (304242960).

Almost surely, 29869185420 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 9869185420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952746560).

9869185420 is an abundant number, since it is smaller than the sum of its proper divisors (12036307700).

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

9869185420 is a wasteful number, since it uses less digits than its factorization.

9869185420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The square root of 9869185420 is about 99343.7739367697. The cubic root of 9869185420 is about 2144.9990433287. Note that the first 3 decimals are identical.

The spelling of 9869185420 in words is "nine billion, eight hundred sixty-nine million, one hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 310 430 620 860 1333 1849 2666 3698 5332 6665 7396 8609 9245 13330 17218 18490 26660 34436 36980 43045 57319 86090 114638 172180 229276 266879 286595 370187 533758 573190 740374 1067516 1146380 1334395 1480748 1850935 2668790 3701870 5337580 7403740 11475797 15918041 22951594 31836082 45903188 57378985 63672164 79590205 114757970 159180410 229515940 318360820 493459271 986918542 1973837084 2467296355 4934592710 9869185420