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12094413175264 = 257192841732419
BaseRepresentation
bin1010111111111111001100…
…1100110111100111100000
31120211012210110010100021111
42233333303030313213200
53041123324233102024
641420032520033104
72355535555530160
oct257776314674740
946735713110244
1012094413175264
113943236a33882
121433b8a602794
13699662908a74
142db530a645a0
1515e90b939a94
hexafff33379e0

12094413175264 has 48 divisors (see below), whose sum is σ = 28644662793600. Its totient is φ = 4910513618304.

The previous prime is 12094413175217. The next prime is 12094413175289. The reversal of 12094413175264 is 46257131449021.

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, 1420861954 + ... + 1420870465.

It is an arithmetic number, because the mean of its divisors is an integer number (596763808200).

Almost surely, 212094413175264 is an apocalyptic number.

12094413175264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12094413175264 is an abundant number, since it is smaller than the sum of its proper divisors (16550249618336).

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

12094413175264 is a wasteful number, since it uses less digits than its factorization.

12094413175264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841732455 (or 2841732447 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 12094413175264 in words is "twelve trillion, ninety-four billion, four hundred thirteen million, one hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 2841732419 5683464838 11366929676 19892126933 22733859352 39784253866 45467718704 53992915961 79568507732 90935437408 107985831922 159137015464 215971663844 318274030928 377950411727 431943327688 636548061856 755900823454 863886655376 1511801646908 1727773310752 3023603293816 6047206587632 12094413175264