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9979405620 = 22351710989759
BaseRepresentation
bin10010100101101000…
…11010010100110100
3221202111000022221120
421102310122110310
5130414211434440
64330125143540
7502204356012
oct112264322464
927674008846
109979405620
114261129168
121b260babb0
13c30659652
146a95218b2
153d6190dd0
hex252d1a534

9979405620 has 96 divisors (see below), whose sum is σ = 29857766400. Its totient is φ = 2481629184.

The previous prime is 9979405609. The next prime is 9979405621. The reversal of 9979405620 is 265049799.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9979405621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66301 + ... + 156059.

It is an arithmetic number, because the mean of its divisors is an integer number (311018400).

Almost surely, 29979405620 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 9979405620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928883200).

9979405620 is an abundant number, since it is smaller than the sum of its proper divisors (19878360780).

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

9979405620 is a wasteful number, since it uses less digits than its factorization.

9979405620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89897 (or 89895 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 9979405620 is about 99896.9750292770. The cubic root of 9979405620 is about 2152.9546986932.

The spelling of 9979405620 in words is "nine billion, nine hundred seventy-nine million, four hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 109 170 204 218 255 327 340 436 510 545 654 1020 1090 1308 1635 1853 2180 3270 3706 5559 6540 7412 9265 11118 18530 22236 27795 37060 55590 89759 111180 179518 269277 359036 448795 538554 897590 1077108 1346385 1525903 1795180 2692770 3051806 4577709 5385540 6103612 7629515 9155418 9783731 15259030 18310836 19567462 22888545 29351193 30518060 39134924 45777090 48918655 58702386 91554180 97837310 117404772 146755965 166323427 195674620 293511930 332646854 498970281 587023860 665293708 831617135 997940562 1663234270 1995881124 2494851405 3326468540 4989702810 9979405620