Search a number
-
+
9920328603060 = 22351312634798967
BaseRepresentation
bin1001000001011100000110…
…1010011001010110110100
31022010101002202102221111010
42100113001222121112310
52300013313110244220
633033200330312220
72042501663552151
oct220270152312664
938111082387433
109920328603060
113185207968317
121142761b88670
1356c6381276b5
14264209c91228
151230b57331e0
hex905c1a995b4

9920328603060 has 96 divisors (see below), whose sum is σ = 28095385393152. Its totient is φ = 2615244511360.

The previous prime is 9920328603023. The next prime is 9920328603067. The reversal of 9920328603060 is 603068230299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920328603067) 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 31 ways as a sum of consecutive naturals, for example, 332304 + ... + 4466663.

It is an arithmetic number, because the mean of its divisors is an integer number (292660264512).

Almost surely, 29920328603060 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 9920328603060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047692696576).

9920328603060 is an abundant number, since it is smaller than the sum of its proper divisors (18175056790092).

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

9920328603060 is a wasteful number, since it uses less digits than its factorization.

9920328603060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799373 (or 4799371 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 9920328603060 in words is "nine trillion, nine hundred twenty billion, three hundred twenty-eight million, six hundred three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 263 393 524 526 655 786 789 1052 1310 1315 1572 1578 1965 2620 2630 3156 3930 3945 5260 7860 7890 15780 34453 68906 103359 137812 172265 206718 344530 413436 516795 689060 1033590 2067180 4798967 9597934 14396901 19195868 23994835 28793802 47989670 57587604 71984505 95979340 143969010 287938020 628664677 1257329354 1262128321 1885994031 2514658708 2524256642 3143323385 3771988062 3786384963 5048513284 6286646770 6310641605 7543976124 7572769926 9429970155 12573293540 12621283210 15145539852 18859940310 18931924815 25242566420 37719880620 37863849630 75727699260 165338810051 330677620102 496016430153 661355240204 826694050255 992032860306 1653388100510 1984065720612 2480082150765 3306776201020 4960164301530 9920328603060