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132353465264 = 2419735964017
BaseRepresentation
bin111101101000011100…
…0011001101110110000
3110122121221101200000222
41323100320121232300
54132024441342024
6140445150032212
712363561615056
oct1732070315660
9418557350028
10132353465264
1151149098449
1221798aa8668
13c633649427
146597c941d6
15369979685e
hex1ed0e19bb0

132353465264 has 40 divisors (see below), whose sum is σ = 273629145840. Its totient is φ = 61834917888.

The previous prime is 132353465227. The next prime is 132353465297. The reversal of 132353465264 is 462564353231.

It is a happy number.

It is an unprimeable number.

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, 2959817 + ... + 3004200.

It is an arithmetic number, because the mean of its divisors is an integer number (6840728646).

Almost surely, 2132353465264 is an apocalyptic number.

It is an amenable number.

132353465264 is an abundant number, since it is smaller than the sum of its proper divisors (141275680576).

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

132353465264 is a wasteful number, since it uses less digits than its factorization.

132353465264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964117 (or 5964111 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 44.

The spelling of 132353465264 in words is "one hundred thirty-two billion, three hundred fifty-three million, four hundred sixty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 584 1168 1387 2774 5548 11096 22192 5964017 11928034 23856068 47712136 95424272 113316323 226632646 435373241 453265292 870746482 906530584 1741492964 1813061168 3482985928 6965971856 8272091579 16544183158 33088366316 66176732632 132353465264