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132482631468824 = 237132316747378713
BaseRepresentation
bin11110000111111000000100…
…001100000000011100011000
3122101002012211101010001022222
4132013320010030000130120
5114331043412124000244
61145433403010203212
736622361053050110
oct3607700414003430
9571065741101288
10132482631468824
1139238628715a0a
1212a38031283508
1358c009b800030
1424a029d260040
15104b29d487bee
hex787e04300718

132482631468824 has 128 divisors (see below), whose sum is σ = 320932037744640. Its totient is φ = 49831792192512.

The previous prime is 132482631468821. The next prime is 132482631468949. The reversal of 132482631468824 is 428864136284231.

132482631468824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132482631468821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20893109 + ... + 26485604.

It is an arithmetic number, because the mean of its divisors is an integer number (2507281544880).

Almost surely, 2132482631468824 is an apocalyptic number.

132482631468824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132482631468824 is an abundant number, since it is smaller than the sum of its proper divisors (188449406275816).

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

132482631468824 is a wasteful number, since it uses less digits than its factorization.

132482631468824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47378929 (or 47378925 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 62.

The spelling of 132482631468824 in words is "one hundred thirty-two trillion, four hundred eighty-two billion, six hundred thirty-one million, four hundred sixty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 167 182 184 299 322 334 364 598 644 668 728 1169 1196 1288 1336 2093 2171 2338 2392 3841 4186 4342 4676 7682 8372 8684 9352 15197 15364 16744 17368 26887 30394 30728 49933 53774 60788 99866 107548 121576 199732 215096 349531 399464 699062 1398124 2796248 47378713 94757426 189514852 331650991 379029704 615923269 663301982 1089710399 1231846538 1326603964 2179420798 2463693076 2653207928 4311462883 4358841596 4927386152 7627972793 7912245071 8622925766 8717683192 14166235187 15255945586 15824490142 17245851532 28332470374 30511891172 31648980284 34491703064 55385715497 56664940748 61023782344 63297960568 99163646309 102859185923 110771430994 113329881496 181981636633 198327292618 205718371846 221542861988 363963273266 396654585236 411436743692 443085723976 720014301461 727926546532 793309170472 822873487384 1273871456431 1440028602922 1455853093064 2365761276229 2547742912862 2880057205844 4731522552458 5095485825724 5760114411688 9463045104916 10190971651448 16560328933603 18926090209832 33120657867206 66241315734412 132482631468824