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132984065280 = 2835113148297
BaseRepresentation
bin111101111011001110…
…1111100110100000000
3110201020212222110122010
41323312131330310000
54134322410042110
6141031514012520
712415316622063
oct1736635746400
9421225873563
10132984065280
1151442046590
1221934117140
13c70419a131
1466179248da
1536d4d0b020
hex1ef677cd00

132984065280 has 144 divisors (see below), whose sum is σ = 463328720064. Its totient is φ = 32238551040.

The previous prime is 132984065233. The next prime is 132984065323. The reversal of 132984065280 is 82560489231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531909 + ... + 1616388.

It is an arithmetic number, because the mean of its divisors is an integer number (3217560556).

Almost surely, 2132984065280 is an apocalyptic number.

132984065280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132984065280 is an abundant number, since it is smaller than the sum of its proper divisors (330344654784).

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

132984065280 is a wasteful number, since it uses less digits than its factorization.

132984065280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148332 (or 3148318 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 132984065280 in words is "one hundred thirty-two billion, nine hundred eighty-four million, sixty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 3148297 6296594 9444891 12593188 15741485 18889782 25186376 31482970 34631267 37779564 47224455 50372752 62965940 69262534 75559128 94448910 100745504 103893801 125931880 138525068 151118256 173156335 188897820 201491008 207787602 251863760 277050136 302236512 346312670 377795640 402982016 415575204 503727520 519469005 554100272 604473024 692625340 755591280 805964032 831150408 1007455040 1038938010 1108200544 1208946048 1385250680 1511182560 1662300816 2014910080 2077876020 2216401088 2417892096 2770501360 3022365120 3324601632 4029820160 4155752040 4432802176 5541002720 6044730240 6649203264 8311504080 8865604352 11082005440 12089460480 13298406528 16623008160 22164010880 26596813056 33246016320 44328021760 66492032640 132984065280