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12097065088 = 271741135593
BaseRepresentation
bin10110100010000101…
…01001000010000000
31011020001202120121201
423101002221002000
5144233322040323
65320214030544
7605530233223
oct132102510200
934201676551
1012097065088
115148529059
122417348454
1311aa2bb4a4
1482a8875ba
154ac0458ad
hex2d10a9080

12097065088 has 64 divisors (see below), whose sum is σ = 26139811320. Its totient is φ = 5553848320.

The previous prime is 12097065077. The next prime is 12097065089. The reversal of 12097065088 is 88056079021.

It can be written as a sum of positive squares in 4 ways, for example, as 11752294464 + 344770624 = 108408^2 + 18568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12097065089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21420 + ... + 157012.

Almost surely, 212097065088 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 12097065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069905660).

12097065088 is an abundant number, since it is smaller than the sum of its proper divisors (14042746232).

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

12097065088 is a wasteful number, since it uses less digits than its factorization.

12097065088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135665 (or 135653 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 12097065088 in words is "twelve billion, ninety-seven million, sixty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 272 328 544 656 697 1088 1312 1394 2176 2624 2788 5248 5576 11152 22304 44608 89216 135593 271186 542372 1084744 2169488 2305081 4338976 4610162 5559313 8677952 9220324 11118626 17355904 18440648 22237252 36881296 44474504 73762592 88949008 94508321 147525184 177898016 189016642 295050368 355796032 378033284 711592064 756066568 1512133136 3024266272 6048532544 12097065088