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9805149420 = 22351177319219
BaseRepresentation
bin10010010000110111…
…01011010011101100
3221022100010012101020
421020123223103230
5130040104240140
64300542214140
7464660252313
oct111033532354
927270105336
109805149420
114181829980
121a97884350
13c03516c81
1469032127a
153c5c1e6d0
hex2486eb4ec

9805149420 has 96 divisors (see below), whose sum is σ = 29990580480. Its totient is φ = 2373807360.

The previous prime is 9805149413. The next prime is 9805149421. The reversal of 9805149420 is 249415089.

9805149420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×98051494202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9805149421) 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 31 ways as a sum of consecutive naturals, for example, 500571 + ... + 519789.

It is an arithmetic number, because the mean of its divisors is an integer number (312401880).

Almost surely, 29805149420 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 9805149420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995290240).

9805149420 is an abundant number, since it is smaller than the sum of its proper divisors (20185431060).

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

9805149420 is a wasteful number, since it uses less digits than its factorization.

9805149420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20015 (or 20013 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 9805149420 is about 99020.9544490458. The cubic root of 9805149420 is about 2140.3497128423.

The spelling of 9805149420 in words is "nine billion, eight hundred five million, one hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 773 1546 2319 3092 3865 4638 7730 8503 9276 11595 15460 17006 19219 23190 25509 34012 38438 42515 46380 51018 57657 76876 85030 96095 102036 115314 127545 170060 192190 211409 230628 255090 288285 384380 422818 510180 576570 634227 845636 1057045 1153140 1268454 2114090 2536908 3171135 4228180 6342270 12684540 14856287 29712574 44568861 59425148 74281435 89137722 148562870 163419157 178275444 222844305 297125740 326838314 445688610 490257471 653676628 817095785 891377220 980514942 1634191570 1961029884 2451287355 3268383140 4902574710 9805149420