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132202063160050 = 252136110957304301
BaseRepresentation
bin11110000011110010110001…
…000000110110001011110010
3122100002101122002100012202111
4132003302301000312023302
5114311444311132110200
61145100442301435534
736563166236553442
oct3603626100661362
9570071562305674
10132202063160050
113913a642175964
12129b178b56bbaa
13589c7a76c8190
142490884b4a122
151043d2bbd70ba
hex783cb10362f2

132202063160050 has 96 divisors (see below), whose sum is σ = 269177513192784. Its totient is φ = 48008315520000.

The previous prime is 132202063159981. The next prime is 132202063160077. The reversal of 132202063160050 is 50061360202231.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 70265115940041 + 61936947220009 = 8382429^2 + 7870003^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132202063159994 and 132202063160021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434292900 + ... + 434597200.

Almost surely, 2132202063160050 is an apocalyptic number.

132202063160050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132202063160050 is an abundant number, since it is smaller than the sum of its proper divisors (136975450032734).

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

132202063160050 is a wasteful number, since it uses less digits than its factorization.

132202063160050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315344 (or 315339 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 132202063160050 in words is "one hundred thirty-two trillion, two hundred two billion, sixty-three million, one hundred sixty thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 61 65 122 130 305 325 610 650 793 1525 1586 3050 3965 7930 10957 19825 21914 39650 54785 109570 142441 273925 284882 304301 547850 608602 668377 712205 1336754 1424410 1521505 3043010 3341885 3561025 3955913 6683770 7122050 7607525 7911826 8688901 15215050 16709425 17377802 18562361 19779565 33418850 37124722 39559130 43444505 86889010 92811805 98897825 185623610 197795650 217222525 241310693 434445050 464059025 482621386 928118050 1206553465 2413106930 3334226057 6032767325 6668452114 12065534650 16671130285 33342260570 43344938741 83355651425 86689877482 166711302850 203387789477 216724693705 406775578954 433449387410 1016938947385 1083623468525 2033877894770 2167246937050 2644041263201 5084694736925 5288082526402 10169389473850 13220206316005 26440412632010 66101031580025 132202063160050