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11946390400893 = 3132103922678441
BaseRepresentation
bin1010110111010111110001…
…0110110010111101111101
31120022001201111011022001210
42231311330112302331331
53031212201420312033
641224032422155033
72342045455645134
oct255657426627575
946261644138053
1011946390400893
113896487a375a3
12140b359b82a79
13688702b8b800
142d42cbb2091b
1515ab4671ed63
hexadd7c5b2f7d

11946390400893 has 24 divisors (see below), whose sum is σ = 17264644325760. Its totient is φ = 7344548864640.

The previous prime is 11946390400837. The next prime is 11946390400993. The reversal of 11946390400893 is 39800409364911.

It is not a de Polignac number, because 11946390400893 - 212 = 11946390396797 is a prime.

It is a super-2 number, since 2×119463904008932 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11946390400193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10812448 + ... + 11865993.

It is an arithmetic number, because the mean of its divisors is an integer number (719360180240).

Almost surely, 211946390400893 is an apocalyptic number.

11946390400893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11946390400893 is a deficient number, since it is larger than the sum of its proper divisors (5318253924867).

11946390400893 is a wasteful number, since it uses less digits than its factorization.

11946390400893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22679509 (or 22679496 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 11946390400893 in words is "eleven trillion, nine hundred forty-six billion, three hundred ninety million, four hundred thousand, eight hundred ninety-three".

Divisors: 1 3 13 39 169 507 1039 3117 13507 40521 175591 526773 22678441 68035323 294819733 884459199 3832656529 11497969587 23562900199 70688700597 306317702587 918953107761 3982130133631 11946390400893