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132464334096 = 24331367224309
BaseRepresentation
bin111101101011101111…
…1010101010100010000
3110122220200000101111000
41323113133111110100
54132241332142341
6140504150222000
712366406155603
oct1732737252420
9418820011430
10132464334096
11511a5732886
122180a054900
13c6505c70a3
1465a88b433a
1536a43968b6
hex1ed77d5510

132464334096 has 80 divisors (see below), whose sum is σ = 380501539200. Its totient is φ = 44122280832.

The previous prime is 132464334091. The next prime is 132464334133. The reversal of 132464334096 is 690433464231.

132464334096 is a `hidden beast` number, since 1 + 32 + 464 + 33 + 40 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (132464334091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478390 + ... + 702698.

It is an arithmetic number, because the mean of its divisors is an integer number (4756269240).

Almost surely, 2132464334096 is an apocalyptic number.

132464334096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132464334096 is an abundant number, since it is smaller than the sum of its proper divisors (248037205104).

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

132464334096 is a wasteful number, since it uses less digits than its factorization.

132464334096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225693 (or 225681 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 132464334096 in words is "one hundred thirty-two billion, four hundred sixty-four million, three hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1367 2734 4101 5468 8202 10936 12303 16404 21872 24606 32808 36909 49212 65616 73818 98424 147636 196848 224309 295272 448618 590544 672927 897236 1345854 1794472 2018781 2691708 3588944 4037562 5383416 6056343 8075124 10766832 12112686 16150248 24225372 32300496 48450744 96901488 306630403 613260806 919891209 1226521612 1839782418 2453043224 2759673627 3679564836 4906086448 5519347254 7359129672 8279020881 11038694508 14718259344 16558041762 22077389016 33116083524 44154778032 66232167048 132464334096