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132664114406264 = 2371926562332529
BaseRepresentation
bin11110001010100001000101…
…011010011110001101111000
3122101201120021020021111022112
4132022201011122132031320
5114342032101242000024
61150053015223311452
736641444266422020
oct3612410532361570
9571646236244275
10132664114406264
11392a8598043a21
1212a6723b5ab588
13590423174144c
1424a8d97d9aa80
151050d70e6a00e
hex78a84569e378

132664114406264 has 48 divisors (see below), whose sum is σ = 300029843271600. Its totient is φ = 53863625389824.

The previous prime is 132664114406233. The next prime is 132664114406269. The reversal of 132664114406264 is 462604411466231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132664114406269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3281146049 + ... + 3281186480.

It is an arithmetic number, because the mean of its divisors is an integer number (6250621734825).

Almost surely, 2132664114406264 is an apocalyptic number.

132664114406264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132664114406264 is an abundant number, since it is smaller than the sum of its proper divisors (167365728865336).

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

132664114406264 is a wasteful number, since it uses less digits than its factorization.

132664114406264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562332580 (or 6562332557 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 50.

The spelling of 132664114406264 in words is "one hundred thirty-two trillion, six hundred sixty-four billion, one hundred fourteen million, four hundred six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1064 1444 2527 2888 5054 10108 20216 6562332529 13124665058 26249330116 45936327703 52498660232 91872655406 124684318051 183745310812 249368636102 367490621624 498737272204 872790226357 997474544408 1745580452714 2369002042969 3491160905428 4738004085938 6982321810856 9476008171876 16583014300783 18952016343752 33166028601566 66332057203132 132664114406264