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2135648465312 = 252916314118683
BaseRepresentation
bin11111000100111110100…
…100010111000110100000
321120011111000100212022212
4133010332210113012200
5234442302001342222
64313034154221252
7310203234302225
oct37047644270640
97504430325285
102135648465312
117537a597856a
122a5aa0424828
1312651073206b
147551a1bb94c
153a846b8a6e2
hex1f13e9171a0

2135648465312 has 48 divisors (see below), whose sum is σ = 4376227292640. Its totient is φ = 1024677464832.

The previous prime is 2135648465309. The next prime is 2135648465347.

2135648465312 is nontrivially palindromic in base 10.

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, 6908078 + ... + 7210605.

It is an arithmetic number, because the mean of its divisors is an integer number (91171401930).

Almost surely, 22135648465312 is an apocalyptic number.

It is an amenable number.

2135648465312 is an abundant number, since it is smaller than the sum of its proper divisors (2240578827328).

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

2135648465312 is a wasteful number, since it uses less digits than its factorization.

2135648465312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14118885 (or 14118877 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 50.

The spelling of 2135648465312 in words is "two trillion, one hundred thirty-five billion, six hundred forty-eight million, four hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 163 232 326 464 652 928 1304 2608 4727 5216 9454 18908 37816 75632 151264 14118683 28237366 56474732 112949464 225898928 409441807 451797856 818883614 1637767228 2301345329 3275534456 4602690658 6551068912 9205381316 13102137824 18410762632 36821525264 66739014541 73643050528 133478029082 266956058164 533912116328 1067824232656 2135648465312