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9887245020 = 22335167109639
BaseRepresentation
bin10010011010101001…
…10110001011011100
3221112001121002101000
421031110312023130
5130222113320040
64313033550300
7500005124142
oct111524661334
927461532330
109887245020
114214101584
121abb275390
13c1752c153
1469b1b1592
153cd039130
hex24d5362dc

9887245020 has 96 divisors (see below), whose sum is σ = 30944793600. Its totient is φ = 2620786752.

The previous prime is 9887245009. The next prime is 9887245051. The reversal of 9887245020 is 205427889.

9887245020 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 2×98872450202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 35361 + ... + 144999.

It is an arithmetic number, because the mean of its divisors is an integer number (322341600).

Almost surely, 29887245020 is an apocalyptic number.

9887245020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9887245020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472396800).

9887245020 is an abundant number, since it is smaller than the sum of its proper divisors (21057548580).

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

9887245020 is a wasteful number, since it uses less digits than its factorization.

9887245020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109824 (or 109816 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 9887245020 is about 99434.6268660973. The cubic root of 9887245020 is about 2146.3066223677.

The spelling of 9887245020 in words is "nine billion, eight hundred eighty-seven million, two hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 167 180 270 334 501 540 668 835 1002 1503 1670 2004 2505 3006 3340 4509 5010 6012 7515 9018 10020 15030 18036 22545 30060 45090 90180 109639 219278 328917 438556 548195 657834 986751 1096390 1315668 1644585 1973502 2192780 2960253 3289170 3947004 4933755 5920506 6578340 9867510 11841012 14801265 18309713 19735020 29602530 36619426 54929139 59205060 73238852 91548565 109858278 164787417 183097130 219716556 274645695 329574834 366194260 494362251 549291390 659149668 823937085 988724502 1098582780 1647874170 1977449004 2471811255 3295748340 4943622510 9887245020