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9890960912 = 247532149211
BaseRepresentation
bin10010011011000110…
…00001011000010000
3221112022120212121122
421031203001120100
5130224041222122
64313245341412
7500051531510
oct111543013020
927468525548
109890960912
11421620a368
121b00567868
13c182305c1
1469b89b840
153cd520142
hex24d8c1610

9890960912 has 120 divisors (see below), whose sum is σ = 22578763200. Its totient is φ = 4111511040.

The previous prime is 9890960899. The next prime is 9890960987. The reversal of 9890960912 is 2190690989.

It is a super-2 number, since 2×98909609122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46876487 + ... + 46876697.

It is an arithmetic number, because the mean of its divisors is an integer number (188156360).

Almost surely, 29890960912 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 9890960912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289381600).

9890960912 is an abundant number, since it is smaller than the sum of its proper divisors (12687802288).

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

9890960912 is a wasteful number, since it uses less digits than its factorization.

9890960912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 53.

The square root of 9890960912 is about 99453.3102113751. The cubic root of 9890960912 is about 2146.5754685654.

The spelling of 9890960912 in words is "nine billion, eight hundred ninety million, nine hundred sixty thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 149 211 212 298 371 422 424 596 742 844 848 1043 1192 1477 1484 1688 2086 2384 2809 2954 2968 3376 4172 5618 5908 5936 7897 8344 11183 11236 11816 15794 16688 19663 22366 22472 23632 31439 31588 39326 44732 44944 55279 62878 63176 78281 78652 89464 110558 125756 126352 156562 157304 178928 220073 221116 251512 313124 314608 418541 440146 442232 503024 592699 626248 837082 880292 884464 1185398 1252496 1666267 1674164 1760584 2370796 2929787 3332534 3348328 3521168 4148893 4741592 5859574 6665068 6696656 8297786 9483184 11663869 11719148 13330136 16595572 23327738 23438296 26660272 33191144 46655476 46876592 66382288 88312151 93310952 176624302 186621904 353248604 618185057 706497208 1236370114 1412994416 2472740228 4945480456 9890960912