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132656331530555 = 57238389101220873
BaseRepresentation
bin11110001010011001110101…
…100001001010000100111011
3122101200211011211102102221122
4132022121311201022010323
5114341420131332434210
61150045251041255455
736641050363160210
oct3612316541120473
9571624154372848
10132656331530555
11392a5263895238
1212a6582903458b
13590359119cb51
1424a885a491b07
151050a67a5cb55
hex78a67584a13b

132656331530555 has 128 divisors (see below), whose sum is σ = 196209053429760. Its totient is φ = 84153292185600.

The previous prime is 132656331530551. The next prime is 132656331530587. The reversal of 132656331530555 is 555035133656231.

It is a happy number.

It is not a de Polignac number, because 132656331530555 - 22 = 132656331530551 is a prime.

It is a super-3 number, since 3×1326563315305553 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132656331530497 and 132656331530506.

It is not an unprimeable number, because it can be changed into a prime (132656331530551) 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 127 ways as a sum of consecutive naturals, for example, 600489599 + ... + 600710471.

It is an arithmetic number, because the mean of its divisors is an integer number (1532883229920).

Almost surely, 2132656331530555 is an apocalyptic number.

132656331530555 is a deficient number, since it is larger than the sum of its proper divisors (63552721899205).

132656331530555 is a wasteful number, since it uses less digits than its factorization.

132656331530555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221181.

The product of its (nonzero) digits is 18225000, while the sum is 53.

The spelling of 132656331530555 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, three hundred thirty-one million, five hundred thirty thousand, five hundred fifty-five".

Divisors: 1 5 7 23 35 83 89 101 115 161 415 445 505 581 623 707 805 1909 2047 2323 2905 3115 3535 7387 8383 8989 9545 10235 11615 13363 14329 16261 36935 41915 44945 51709 58681 62923 66815 71645 81305 169901 192809 206747 220873 258545 293405 314615 746087 849505 964045 1033735 1104365 1189307 1349663 1447229 1546111 3730435 5080079 5222609 5946535 6748315 7236145 7730555 17160001 18332459 19657697 22308173 25400395 26113045 35560553 85800005 91662295 98288485 111540865 120120007 128327213 137603879 156157211 177802765 421646557 452127031 513087979 600600035 641636065 688019395 780786055 1631588851 1851578359 1985427397 2108232785 2260635155 2565439895 2951525899 3164889217 3591615853 8157944255 9257891795 9927136985 11421121957 12961048513 13897991779 14757629495 15824446085 17958079265 37526543573 42586302257 45664830131 57105609785 64805242565 69489958895 164790473951 187632717865 212931511285 228324150655 262685805011 298104115799 319653810917 823952369755 1153533317657 1313429025055 1490520578995 1598269054585 3790180900873 5767666588285 18950904504365 26531266306111 132656331530555