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132556027450 = 252721129316787
BaseRepresentation
bin111101101110011110…
…1000111011000111010
3110200011001112220010011
41323130331013120322
54132433320334300
6140521223412134
712401601433300
oct1733475073072
9420131486104
10132556027450
1151242470410
12218348b404a
13c6665bca02
1465b6b42270
1536ac459eba
hex1edcf4763a

132556027450 has 144 divisors (see below), whose sum is σ = 313967967264. Its totient is φ = 41172700800.

The previous prime is 132556027441. The next prime is 132556027451. The reversal of 132556027450 is 54720655231.

It is a super-2 number, since 2×1325560274502 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132556027451) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7887957 + ... + 7904743.

It is an arithmetic number, because the mean of its divisors is an integer number (2180333106).

Almost surely, 2132556027450 is an apocalyptic number.

132556027450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132556027450 is an abundant number, since it is smaller than the sum of its proper divisors (181411939814).

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

132556027450 is a wasteful number, since it uses less digits than its factorization.

132556027450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17117 (or 17105 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 132556027450 in words is "one hundred thirty-two billion, five hundred fifty-six million, twenty-seven thousand, four hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 49 50 55 70 77 98 110 154 175 245 275 293 350 385 490 539 550 586 770 1078 1225 1465 1925 2051 2450 2695 2930 3223 3850 4102 5390 6446 7325 10255 13475 14357 14650 16115 16787 20510 22561 26950 28714 32230 33574 45122 51275 71785 80575 83935 102550 112805 117509 143570 157927 161150 167870 184657 225610 235018 315854 358925 369314 419675 564025 587545 717850 789635 822563 839350 923285 1128050 1175090 1292599 1579270 1645126 1846570 2585198 2937725 3948175 4112815 4616425 4918591 5875450 6462995 7896350 8225630 9048193 9232850 9837182 12925990 18096386 20564075 24592955 32314975 34430137 41128150 45240965 49185910 54104501 64629950 68860274 90481930 108209002 122964775 172150685 226204825 241010959 245929550 270522505 344301370 378731507 452409650 482021918 541045010 757463014 860753425 1205054795 1352612525 1721506850 1893657535 2410109590 2651120549 2705225050 3787315070 5302241098 6025273975 9468287675 12050547950 13255602745 18936575350 26511205490 66278013725 132556027450