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9806897152 = 21313711297
BaseRepresentation
bin10010010001000100…
…10110000000000000
3221022110101222211001
421020202112000000
5130041031202102
64301043501344
7465011151613
oct111042260000
927273358731
109806897152
114182812a88
121a98387854
13c039a9630
1469065817a
153c5e67487
hex248896000

9806897152 has 112 divisors (see below), whose sum is σ = 21435255072. Its totient is φ = 4459069440.

The previous prime is 9806897137. The next prime is 9806897179. The reversal of 9806897152 is 2517986089.

It is a super-2 number, since 2×98068971522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9806897093 and 9806897102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7560568 + ... + 7561864.

It is an arithmetic number, because the mean of its divisors is an integer number (191386206).

Almost surely, 29806897152 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 9806897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10717627536).

9806897152 is an abundant number, since it is smaller than the sum of its proper divisors (11628357920).

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

9806897152 is a wasteful number, since it uses less digits than its factorization.

9806897152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The square root of 9806897152 is about 99029.7791171928. The cubic root of 9806897152 is about 2140.4768751216.

The spelling of 9806897152 in words is "nine billion, eight hundred six million, eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 256 284 416 512 568 832 923 1024 1136 1297 1664 1846 2048 2272 2594 3328 3692 4096 4544 5188 6656 7384 8192 9088 10376 13312 14768 16861 18176 20752 26624 29536 33722 36352 41504 53248 59072 67444 72704 83008 92087 106496 118144 134888 145408 166016 184174 236288 269776 290816 332032 368348 472576 539552 581632 664064 736696 945152 1079104 1197131 1328128 1473392 1890304 2158208 2394262 2656256 2946784 3780608 4316416 4788524 5312512 5893568 7561216 8632832 9577048 10625024 11787136 17265664 19154096 23574272 34531328 38308192 47148544 69062656 76616384 94297088 138125312 153232768 188594176 306465536 377188352 612931072 754376704 1225862144 2451724288 4903448576 9806897152