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132427235321460 = 223256721110946227
BaseRepresentation
bin11110000111000100011110…
…010100011110011001110100
3122100212220211201111012010100
4132013010132110132121310
5114324141434220241320
61145352122042354100
736615360225422232
oct3607043624363164
9570786751435110
10132427235321460
1139217090a71542
1212a293511bb930
1358b7ab0b0b901
14249b725dcb952
151049b09ed9790
hex78711e51e674

132427235321460 has 72 divisors (see below), whose sum is σ = 401701960479456. Its totient is φ = 35313400774080.

The previous prime is 132427235321413. The next prime is 132427235321471. The reversal of 132427235321460 is 64123532724231.

132427235321460 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 72 + 3 + 532 + 1 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6624867 + ... + 17571093.

It is an arithmetic number, because the mean of its divisors is an integer number (5579193895548).

Almost surely, 2132427235321460 is an apocalyptic number.

132427235321460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132427235321460 is an abundant number, since it is smaller than the sum of its proper divisors (269274725157996).

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

132427235321460 is a wasteful number, since it uses less digits than its factorization.

132427235321460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11013453 (or 11013448 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 132427235321460 in words is "one hundred thirty-two trillion, four hundred twenty-seven billion, two hundred thirty-five million, three hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67211 134422 201633 268844 336055 403266 604899 672110 806532 1008165 1209798 1344220 2016330 2419596 3024495 4032660 6048990 10946227 12097980 21892454 32838681 43784908 54731135 65677362 98516043 109462270 131354724 164193405 197032086 218924540 328386810 394064172 492580215 656773620 985160430 1970320860 735706862897 1471413725794 2207120588691 2942827451588 3678534314485 4414241177382 6621361766073 7357068628970 8828482354764 11035602943455 13242723532146 14714137257940 22071205886910 26485447064292 33106808830365 44142411773820 66213617660730 132427235321460