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11296575288140 = 2254113776311327
BaseRepresentation
bin1010010001100011000001…
…0110110111001101001100
31110222221102202101022120112
42210120300112313031030
52440040341233210030
640005324113135152
72244102444426212
oct244306026671514
943887382338515
1011296575288140
11366593a28152a
12132542825a4b8
1363c354886b2c
142b0a85916cb2
15148cb337da95
hexa46305b734c

11296575288140 has 24 divisors (see below), whose sum is σ = 24301413182592. Its totient is φ = 4408419624320.

The previous prime is 11296575288137. The next prime is 11296575288143. The reversal of 11296575288140 is 4188257569211.

It is an interprime number because it is at equal distance from previous prime (11296575288137) and next prime (11296575288143).

It is a super-2 number, since 2×112965752881402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11296575288140.

It is not an unprimeable number, because it can be changed into a prime (11296575288143) 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, 6888154844 + ... + 6888156483.

It is an arithmetic number, because the mean of its divisors is an integer number (1012558882608).

Almost surely, 211296575288140 is an apocalyptic number.

11296575288140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11296575288140 is an abundant number, since it is smaller than the sum of its proper divisors (13004837894452).

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

11296575288140 is a wasteful number, since it uses less digits than its factorization.

11296575288140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776311377 (or 13776311375 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 59.

The spelling of 11296575288140 in words is "eleven trillion, two hundred ninety-six billion, five hundred seventy-five million, two hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 13776311327 27552622654 55105245308 68881556635 137763113270 275526226540 564828764407 1129657528814 2259315057628 2824143822035 5648287644070 11296575288140