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132355214353152 = 283278206548509
BaseRepresentation
bin11110000110000001011001…
…100010010010001100000000
3122100122000221110022220220200
4132012001121202102030000
5114322001434333300102
61145255051315205200
736610230411326550
oct3606013142221400
9570560843286820
10132355214353152
113919959301102a
1212a173b15a6800
1358b1073a87b2b
142498052c1d160
151047ce227351c
hex786059892300

132355214353152 has 108 divisors (see below), whose sum is σ = 436128814015440. Its totient is φ = 37815775524864.

The previous prime is 132355214353127. The next prime is 132355214353169. The reversal of 132355214353152 is 251353412553231.

It is a happy number.

132355214353152 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 5 + 5 + 21 + 43 + 531 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132355214353098 and 132355214353107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4103258127 + ... + 4103290382.

Almost surely, 2132355214353152 is an apocalyptic number.

132355214353152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132355214353152 is an abundant number, since it is smaller than the sum of its proper divisors (303773599662288).

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

132355214353152 is an equidigital number, since it uses as much as digits as its factorization.

132355214353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206548538 (or 8206548521 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

The spelling of 132355214353152 in words is "one hundred thirty-two trillion, three hundred fifty-five billion, two hundred fourteen million, three hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 8206548509 16413097018 24619645527 32826194036 49239291054 57445839563 65652388072 73858936581 98478582108 114891679126 131304776144 147717873162 172337518689 196957164216 229783358252 262609552288 295435746324 344675037378 393914328432 459566716504 517012556067 525219104576 590871492648 689350074756 787828656864 919133433008 1034025112134 1050438209152 1181742985296 1378700149512 1575657313728 1838266866016 2068050224268 2100876418304 2363485970592 2757400299024 3151314627456 3676533732032 4136100448536 4726971941184 5514800598048 6302629254912 7353067464064 8272200897072 9453943882368 11029601196096 14706134928128 16544401794144 18907887764736 22059202392192 33088803588288 44118404784384 66177607176576 132355214353152