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132556430890 = 25132936179721
BaseRepresentation
bin111101101110011111…
…0101001111000101010
3110200011002022101112101
41323130332221320222
54132433421242030
6140521240204014
712401605033432
oct1733476517052
9420132271471
10132556430890
1151242716534
1221834a6960a
13c666701530
1465b6c092c2
1536ac4d97ca
hex1edcfa9e2a

132556430890 has 64 divisors (see below), whose sum is σ = 265916921760. Its totient is φ = 47238266880.

The previous prime is 132556430833. The next prime is 132556430927. The reversal of 132556430890 is 98034655231.

It is a Cunningham number, because it is equal to 3640832+1.

It can be written as a sum of positive squares in 16 ways, for example, as 34166934649 + 98389496241 = 184843^2 + 313671^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132556430890.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13631230 + ... + 13640950.

Almost surely, 2132556430890 is an apocalyptic number.

132556430890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132556430890 is an abundant number, since it is smaller than the sum of its proper divisors (133360490870).

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

132556430890 is a wasteful number, since it uses less digits than its factorization.

132556430890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13387.

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 132556430890 in words is "one hundred thirty-two billion, five hundred fifty-six million, four hundred thirty thousand, eight hundred ninety".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 1885 3617 3770 7234 9721 18085 19442 36170 47021 48605 94042 97210 104893 126373 209786 235105 252746 281909 470210 524465 563818 631865 1048930 1263730 1363609 1409545 2727218 2819090 3664817 6818045 7329634 13636090 18324085 35160857 36648170 70321714 175804285 351608570 457091141 914182282 1019664853 2039329706 2285455705 4570911410 5098324265 10196648530 13255643089 26511286178 66278215445 132556430890