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132664502206335 = 3511291011699161569
BaseRepresentation
bin11110001010100001011100…
…100001110011111101111111
3122101201121021020222210000010
4132022201130201303331333
5114342033400031100320
61150053121515234303
736641460015602331
oct3612413441637577
9571647236883003
10132664502206335
11392a8776a36950
1212a67329448993
135904293ba0a48
1424a8dd36a7451
151050d9501dae0
hex78a85c873f7f

132664502206335 has 128 divisors (see below), whose sum is σ = 242060296320000. Its totient is φ = 61452711936000.

The previous prime is 132664502206331. The next prime is 132664502206339. The reversal of 132664502206335 is 533602205466231.

It is an interprime number because it is at equal distance from previous prime (132664502206331) and next prime (132664502206339).

It is not a de Polignac number, because 132664502206335 - 22 = 132664502206331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132664502206331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 821020431 + ... + 821181999.

It is an arithmetic number, because the mean of its divisors is an integer number (1891096065000).

Almost surely, 2132664502206335 is an apocalyptic number.

132664502206335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132664502206335 is a deficient number, since it is larger than the sum of its proper divisors (109395794113665).

132664502206335 is a wasteful number, since it uses less digits than its factorization.

132664502206335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163417.

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 132664502206335 in words is "one hundred thirty-two trillion, six hundred sixty-four billion, five hundred two million, two hundred six thousand, three hundred thirty-five".

Divisors: 1 3 5 11 15 29 33 55 87 101 145 165 303 319 435 505 957 1111 1515 1595 1699 2929 3333 4785 5097 5555 8495 8787 14645 16665 18689 25485 32219 43935 49271 56067 93445 96657 147813 161095 161569 171599 246355 280335 483285 484707 514797 541981 739065 807845 857995 1625943 1777259 1887589 2423535 2573985 2709905 4685501 4976371 5331777 5662767 8129715 8886295 9437945 14056503 14929113 16318469 23427505 24881855 26658885 28313835 48955407 51540511 54740081 70282515 74645565 81592345 154621533 164220243 179503159 244777035 257702555 273700405 274505731 473235601 538509477 773107665 821101215 823517193 897515795 1372528655 1419706803 2366178005 2692547385 3019563041 4117585965 5205591611 7098534015 7960666199 9058689123 15097815205 15616774833 23881998597 26027958055 27725078831 39803330995 45293445615 78083874165 83175236493 87567328189 119409992985 138625394155 262701984567 304975867141 415876182465 437836640945 804027286099 914927601423 1313509922835 1524879335705 2412081858297 4020136430495 4574638007115 8844300147089 12060409291485 26532900441267 44221500735445 132664502206335