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9997000312 = 23133568787
BaseRepresentation
bin10010100111101111…
…00001111001111000
3221210201010020022211
421103313201321320
5130433213002222
64331554224504
7502510046335
oct112367417170
927721106284
109997000312
114270056332
121b2bb85134
13c341aa000
146ab9c198c
153d79b9277
hex253de1e78

9997000312 has 32 divisors (see below), whose sum is σ = 20305731600. Its totient is φ = 4613992032.

The previous prime is 9997000283. The next prime is 9997000313. The reversal of 9997000312 is 2130007999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997000313) 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 7 ways as a sum of consecutive naturals, for example, 266818 + ... + 301969.

Almost surely, 29997000312 is an apocalyptic number.

It is an amenable number.

9997000312 is an abundant number, since it is smaller than the sum of its proper divisors (10308731288).

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

9997000312 is a wasteful number, since it uses less digits than its factorization.

9997000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568832 (or 568802 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 9997000312 is about 99985.0004350653. Note that the first 3 decimals coincide. The cubic root of 9997000312 is about 2154.2192474255.

The spelling of 9997000312 in words is "nine billion, nine hundred ninety-seven million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 2197 4394 8788 17576 568787 1137574 2275148 4550296 7394231 14788462 29576924 59153848 96125003 192250006 384500012 769000024 1249625039 2499250078 4998500156 9997000312