Search a number
-
+
9965190120 = 2335143957709
BaseRepresentation
bin10010100011111100…
…01011101111101000
3221201111021002221120
421101332023233220
5130402042040440
64324500335240
7501642501264
oct112176135750
927644232846
109965190120
1142540a9916
121b213a4520
13c2a720102
146a76a10a4
153d4cd3dd0
hex251f8bbe8

9965190120 has 64 divisors (see below), whose sum is σ = 29916864000. Its totient is φ = 2655491328.

The previous prime is 9965190107. The next prime is 9965190121. The reversal of 9965190120 is 210915699.

It is a happy number.

It is a super-2 number, since 2×99651901202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9965190121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 143826 + ... + 201534.

It is an arithmetic number, because the mean of its divisors is an integer number (467451000).

Almost surely, 29965190120 is an apocalyptic number.

It is an amenable number.

9965190120 is an abundant number, since it is smaller than the sum of its proper divisors (19951673880).

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

9965190120 is a wasteful number, since it uses less digits than its factorization.

9965190120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59162 (or 59158 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 9965190120 is about 99825.7988698312. The cubic root of 9965190120 is about 2151.9319299881.

The spelling of 9965190120 in words is "nine billion, nine hundred sixty-five million, one hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1439 2878 4317 5756 7195 8634 11512 14390 17268 21585 28780 34536 43170 57560 57709 86340 115418 172680 173127 230836 288545 346254 461672 577090 692508 865635 1154180 1385016 1731270 2308360 3462540 6925080 83043251 166086502 249129753 332173004 415216255 498259506 664346008 830432510 996519012 1245648765 1660865020 1993038024 2491297530 3321730040 4982595060 9965190120